Splash Screen. Chapter Menu Lesson 11-1Lesson 11-1Area of Parallelograms Lesson 11-2Lesson 11-2Area...

Lesson 11-1 Area of Parallelograms

Lesson 11-2 Area of Triangles and Trapezoids

Lesson 11-3 Circles and Circumference

Lesson 11-4 Area of Circles

Lesson 11-5 Problem-Solving Investigation: Solve a Simpler Problem

Lesson 11-6 Area of Complex Figures

Lesson 11-7 Three-Dimensional Figures

Lesson 11-8 Drawing Three-Dimensional Figures

Lesson 11-9 Volume of Prisms

Lesson 11-10 Volume of Cylinders

http://www.ca.gr6math.com/

Five-Minute Check (over Chapter 10)

Main Idea and Vocabulary

California Standards

Key Concept: Area of a Parallelogram

Example 1: Find the Area of a Parallelogram

Example 2: Find the Area of a Parallelogram

Example 3: Real-World Example


• base

• height

• Find the areas of parallelograms.


Standard 6AF3.1 Use variables in expressions describing geometric quantities (e.g., P = 2w + 2,

C = πd—the formulas for the perimeter of a

rectangle, the area of a triangle, and the circumference of a circle, respectively).

Standard 6AF3.2 Express in symbolic form simple relationships arising from geometry.



Find the Area of a Parallelogram

Find the area of the parallelogram.

Estimate A = 8 ● 6 or 48 cm2

Answer: The area of the parallelogram is 48 square centimeters.

A = bh Area of a parallelogram

A = 7.5 ● 6.4 Replace b with 7.5 and h with 6.4.

A = 48 Multiply.


A. A

B. B

C. C

D. D

0% 0%0%0%

A. 13 in2

B. 26 in2

C. 52 in2

D. 208 in2





The base is 8 centimeters, and the height is 4.5 centimeters.

Estimate A = 8 ● 5 or 40 cm2




Answer: The area of the parallelogram is 36 square centimeters.

A = 8 ● 4.5 Replace b with 8 and h with 4.5.

A = 36 Multiply.


1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 5.4 m2

B. 10.8 m2

C. 10.92 m2

D. 13.81 m2

Find the area of the parallelogram to the right.


FARMING A farmer planted the three fields shown with rice. What is the total area of the three fields?

Find the area of one of the fields and then multiply that result by 3.


A = 56.7 ● 75 Replace b with 56.7 and h with 75.

A = 4,252.5 Multiply.


Answer: The area of one of the fields is 4,252.5 m2. So, the area of the three fields together is 3 ● 4,252.5 or 12,757.5 m2.


1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 720 in2

B. 1,250 in2

C. 7,348 in2

D. 12,960 in2

LANDSCAPING Sue is designing a new walkway from her back patio to a garden. She is using stones that are shaped as parallelograms to create the walkway. Each of the stones has a base of 18 inches and a height of 24 inches. It takes 30 stones to complete the walkway. What is the total area of the walkway?



Five-Minute Check (over Lesson 11-1)

Main Idea


Key Concept: Area of a Triangle

Example 1: Find the Area of a Triangle

Key Concept: Area of a Trapezoid

Example 2: Find the Area of a Trapezoid



• Find the areas of triangles and trapezoids.








Find the Area of a Triangle

Find the area of the triangle below.


Find the Area of a Triangle

A = 14.4 Multiply.

Answer: The area of the triangle is 14.4 square centimeters.


A. A

B. B

C. C

D. D0% 0%0%0%

A. 10.5 ft2

B. 13.5 ft2

C. 21.75 ft2

D. 27 ft2

Find the area of the triangle to the right.


Interactive Lab: Area of Trapezoids


Find the Area of a Trapezoid

Find the area of the trapezoid below.

The bases are 4 meters and 7.6 meters. The height is 3 meters.


Find the Area of a Trapezoid

Replace h with 3, b1 with 4, and b2 with 7.6.

Answer: The area of the trapezoid is 17.4 square meters.


1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 26.5 cm2

B. 60.5 cm2

C. 61.5 cm2

D. 73.5 cm2

Find the area of the trapezoid to the right.


GEOGRAPHY The shape of the state of Montana resembles a trapezoid. Find the approximate area of Montana.


Answer: The area of Montana is about 145,493 square miles.

Replace h with 285, b1 with 542, and b2 with 479.


1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 75 ft2

B. 150 ft2

C. 300 ft2

D. 450 ft2

PAINTING The diagram below is of a canvas resembling a trapezoid that will be painted. In order to determine how much paint will be needed, estimate the area of the canvas in square feet.






Key Concept: Circumference of a Circle

Example 1: Real-World Example: Find Circumference

Example 2: Find Circumference


• circle

• center• diameter• circumference• radius• π (pi)

• Find the circumference of circles.


Standard 6MG1.1 Understand the concept of a constant such as π; know the formulas for the circumference and area of a circle.

Standard MG1.2 Know common estimates of π

and use these values to estimate and

calculate the circumference and area of circles; compare with actual measurements.



PETS Find the circumference around the hamster’s running wheel. Round to the nearest tenth.

Answer: The distance around the hamster’s running wheel is about 18.8 inches.

C = 2r

Replace with 3.14 and r with 3.

C = 2r𝝅 OR C = 2𝝅r OR C = 𝝅d


A. A

B. B

C. C

D. D

A. 28.6 ft

B. 32.9 ft

C. 56.5 ft

D. 254.3 ft

SWIMMING POOL A new children’s swimming pool is being built at the local recreation center. The pool is circular in shape with a diameter of 18 feet. Find the circumference of the pool. Round to the nearest tenth.

C = 2r𝝅 OR C = 2𝝅r OR C = 𝝅d


Find Circumference

Answer: The circumference of the circle is about 154 centimeters.

Find the circumference of a circle with a diameter of 49 centimeters.

.


1. A

2. B

3. C

4. D

A. 54 ft

B. 123 ft

C. 178 ft

D. 220 ft

Find the circumference of a circle with a radius of 35 feet.




Main Idea


Key Concept: Area of a Circle

Example 1: Find the Area of a Circle


Example 3: Standards Example


• Find the areas of circles.


Standard 6MG1.1 Understand the concept of a constant such as π; know the formulas for the circumference and area of a circle.

Standard MG1.2 Know common estimates of π

and use these values to estimate and

calculate the circumference and area of circles; compare with actual measurements.



Find the Area of a Circle

Find the area of the circle shown here. Round to the nearest hundreth.

A = πr2 Area of a circle

A = π ● 42 Replace r with 4.

A = 3.14 ● 4 ● 4 = 50.24

A = 𝝅r2


A. A

B. B

C. C

D. D

A. approximately 32.97 ft2

B. approximately 65.9 ft2

C. approximately 121.3 ft2

D. approximately 346.2 ft2

Find the area of the circle shown here.

A = 𝝅r2


A = π ● 10.5 2 Replace r

with 10.5.

A = 3.14 ● 10.5 ● 10.5 = 346.185


KOI Find the area of the koi pond shown. Round to the nearest tenth.

The diameter of the koi pond is 3.6 m. Therefore, the radius is 1.8 m.A = πr2 Area of a circle

A = π(1.8)2 Replace r with 1.8.

A. ≈ (3.14) (1.8) (1.8)

A ≈ (3.14) 10.2 Multiply.

A ≈ 32.028 ≈ 32.0

A = 𝝅r2


1. A

2. B

3. C

4. D

A. 54.5 ft2

B. 121.5 ft2

C. 176.6 ft2

D. 214.4 ft2

PARACHUTE Bluehills Elementary School has a parachute that is used for an activity in physical education class. The diameter of the parachute is 15 feet. Find the area of the parachute.

A = 𝝅r2

15 ÷ 2 = 7.5

A = πr2

A =π(7.5)2

A. ≈ (3.14) (7.5) (7.5)

A ≈(3.14) (56.25)

A ≈ 176.625 ≈ 176.6


Mr. McGowan made an apple pie with a diameter of 10 inches. He cut the pie into 6 equal slices. Find the approximate area of each slice.

A 3 in2 B 13 in2 C 16 in2 D 52 in2

A = 𝝅r2


Find the area of one slice:

78 ÷ 6 = 13

A = π(5)2 Replace r with 5.

A ≈ 3.14 ● 5 ● 5 ≈ 78.5 ≈ 78

Answer: B


1. A

2. B

3. C

4. D

A. 157 ft2

B. 225 ft2

C. 264 ft2

D. 312 ft2

MERRY-GO-ROUND The floor of a merry-go-round at the amusement park has a diameter of 40 feet. The floor is divided evenly into eight sections, each having a different color. Find the area of each section of the floor.

A = 𝝅r2

40 ÷ 2 = 20

A = πr2

A =π(20)2

A. ≈ (3.14) (20) (20)

A ≈(3.14) (400)

A ≈ 1256

1256 ÷ 8 = 157




Main Idea


Example 1: Solve a Simpler Problem


• Solve problems by solving a simpler problem.


Standard 6MR1.3 Determine when and how to break a problem into simpler parts.

Standard 6MR2.2 Apply strategies and results from simpler problems to more complex problems.

Standard 6NS2.1 Solve problems involving addition, . . . multiplication, . . . of positive fractions and explain why . . . , was used for a given situation.


Solve a Simpler Problem

PAINT Ben and Sheila are going to paint the wall of a room as shown. What is the area that will be painted? Use the solve a simpler problem strategy.



Explore You know that the entire wall is a rectangle and that the door and window are each rectangles.

Plan Find the area of each of the rectangles separately. Then subtract the areas of the door and window from the area of the entire wall.



Solve area of wall: area of door: area of window:

Answer: So, the area that will be painted is 108 – 21 – 20 or 67 ft2.

A = lw A = lw A = lw

A = (12)(9) A = (7)(3) A = (5)(4)

A = 108 A = 21 A = 20

Check Use estimation to check.


A. A

B. B

C. C

D. D0% 0%0%0%

A. 56 ft2

B. 145 ft2

C. 172 ft2

D. 212 ft2

Karen is placing a rectangular area rug measuring 8 feet by 10 feet in a rectangular dining room that measures 14 feet by 18 feet. Find the area of the flooring that is not covered by the area rug. Use the solve a simpler problem strategy.






Example 1: Find the Area of a Complex Figure



• complex figure

• semicircle

• Find the areas of complex figures.







Find the Area of a Complex Figure

Find the area of the figure in square centimeters.

The figure can be separated into a rectangle and a triangle. Find the area of each.



Area of Rectangle

A = lw Area of a rectangle

A = 15 ● 10 Replace l with 15 and w with 10.

A = 150 Multiply.Area of Triangle



Answer: 160 cm2


A. A

B. B

C. C

D. D0% 0%0%0%

A. 82 yd2

B. 108 yd2

C. 119 yd2

D. 172 yd2

Find the area of the figure in square yards.


WINDOWS The diagram below shows the dimensions of a window that is 3.4 feet by 7.2 feet. Find the area of the window. Round to the nearest tenth.

The figure can be separated into a semicircle and a rectangle.


Area of Semicircle


Area of Rectangle

A = lw Area of a rectangle

A = 5.5 ● 3.4 Replace l with 7.2 – 1.7 or 5.5 and w with 3.4.

A = 19.7 Multiply.

Answer: about 23.2 ft2

BrainPOP: Area of Polygons

http://www.glencoe.com/sec/math/brainpops/00112046/00112046.html





1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 162.4 ft2

B. 180.3 ft2

C. 220.8 ft2

D. 252.6 ft2

DRIVEWAY The diagram shows the dimensions of a new driveway. Find the area of the driveway. Round to the nearest tenth.






Key Concept: Prisms and Pyramids

Key Concept: Cones, Cylinders, and Spheres

Example 1: Classify Three-Dimensional Figures

Example 2: Classify Three-Dimensional Figures



• three-dimensional figure

• face• edge• lateral face• vertex (vertices)• prism

• Build three-dimensional figures given the top, side, and front views.

• base• pyramid• cone• cylinder• sphere• center


Preparation for Standard 7MG3.6 Identify elements of three-dimensional geometric objects (e.g., diagonals of rectangular solids) and describe how two or more objects are related in space (e.g., skew lines, the possible ways three planes might intersect).




Classify Three-Dimensional Figures

Classify the figure shown below.

The figure has one rectangular base and four lateral faces that are triangles. It is a rectangular pyramid.

Answer: rectangular pyramid


A. A

B. B

C. C

D. D

0% 0%0%0%

A. sphere

B. cone

C. cylinder

D. rectangular prism



Classify Three-Dimensional Figures


The figure has two rectangular bases and four lateral faces that are rectangles. It is a rectangular prism.

Answer: rectangular prism


1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. cone

B. cylinder

C. triangular pyramid

D. triangular prism



HOUSES Classify the shape of the house’s roof as a three-dimensional figure.

The roof of the house appears to be a triangular prism. It has two bases that are triangles and three lateral faces that are rectangles.

Answer: triangular prism


1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. cylinder

B. sphere

C. cone

D. triangular pyramid

SPORTS David received a new basketball for his birthday. Classify the shape of his gift as a three-dimensional figure.




Main Idea


Example 1: Draw a Three-Dimensional Figure


Example 3: Draw a Three-Dimensional Figure


• Draw a three-dimensional figure given the top, side, and front views.


Reinforcement of Standard 5MG2.3 Visualize and draw two-dimensional views of three-dimensional objects made from rectangular solids.

Standard 6MR2.4 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.


Draw a Three-Dimensional Figure

Draw a top, a side, and a front view of the figure below.

The top and front views are rectangles. The side view is a square.

Answer:

Interactive Lab: Drawing 3-D Figures


A. A

B. B

C. C

D. D0% 0%0%0%

Draw a top, a side, and a front view of the figure.

A. B.

C. D.


Draw a top, side, and a front view of the soup can shown.

The top view is a circle.

The side and front views are two rectangles.

Answer:


A. A

B. B

C. C

D. D0% 0%0%0%

Draw a top, a side, and a front view of the house shown.

A. B.

C. D.

top side front

top side front

top side front

top side front



Draw the top, side, and front views shown below. Use isometric dot paper.

Step 1 Use the top view to draw the base of the figure.

Step 2 Add edges to make the base a solid figure.

Step 3 Use the side and front views to complete the figure.



Answer:


A. A

B. B

C. C

D. D0% 0%0%0%

Draw a solid using the top, side, and front views shown below. Use isometric dot paper.

A. B.

C. D. none of these






Key Concept: Volume of a Rectangular Prism

Example 1: Volume of a Rectangular Prism


Key Concept: Volume of a Triangular Prism

Example 3: Volume of a Triangular Prism


• volume

• rectangular prism• triangular prism

• Find the volumes of rectangular and triangular prisms.


Standard 6MG1.3 Know and use the formulas for the volume of triangular prisms and cylinders (area of base × height); compare these formulas and explain the similarity between them and the formulas for the volume of a rectangular solid.



Volume of a Rectangular Prism

Find the volume of the prism.

V = ℓwh Volume of a rectangular prism

V = 4 ● 3 ● 2 Replace ℓ with 4, w with 3, and h with 2.

V = 24 Multiply.

Answer: 24 cm3


A. A

B. B

C. C

D. D

0% 0%0%0%

A. 20 in3

B. 100 in3

C. 240 in3

D. 960 in3

Find the volume of the rectangular prism.


GAMES The manufacturer of the game Bugs of Planet Zykon uses the box shown. If the manufacturer increases the length of the box to 10 inches, how much will the box’s volume increase?

Volume of original box


V = 8.5 ● 6 ● 4 Replace ℓ with 8.5, w with 6, and h with 4.

V = 204 Multiply.


Volume of new box

The difference in volume between the new box and the original box is 240 – 204 or 36 in3.

Answer: 36 in3


V = 10 ● 6 ● 4 Replace ℓ with 10, w with 6, and h with 4.

V = 240 Multiply.


1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 20 in3

B. 112 in3

C. 280 in3

D. 315 in3

CRACKERS Find the volume of the cracker box.



Volume of a Triangular Prism

Find the volume of the triangular prism.


Volume of a Triangular Prism

Answer: 315 m3

V = Bh Volume of a prism

V = 31.5 ● 10 Replace B with 31.5 and h with 10.

V = 315 Multiply.


1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 16 m3

B. 63 m3

C. 126 m3

D. 178 m3

Find the volume of the triangular prism.




Main Idea


Key Concept: Volume of a Cylinder

Example 1: Find the Volume of a Cylinder



• Find the volumes of cylinders.


Standard 6MG1.3 Know and use the formulas for the volume of triangular prisms and cylinders (area of base × height); compare these formulas and explain the similarity between them and the formulas for the volume of a rectangular solid.



Find the Volume of a Cylinder

Find the volume of the cylinder. Round to the nearest tenth.

Answer: The volume is about 854.9 cubic centimeters.

V = r2h Volume of a cylinder

V = (5.5)2(9) Replace r with 5.5 and h with 9.

V = 854.9


A. A

B. B

C. C

D. D

0% 0%0%0%

A. 274.1 in3

B. 513.8 in3

C. 974.6 in3

D. 1,639.9 in3

Find the volume of the cylinder. Round to the nearest tenth.


COFFEE How much coffee can the can hold?

Answer: 42.4 in3

V = r2h Volume of a cylinder

V = (1.5)2(6) Replace r with 1.5 and h with 6.

V ≈ 42.4 Simplify.


1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 628.3 in3

B. 125.7 in3

C. 157.1 in3

D. 50 in3

JUICE Find the volume of a cylinder-shaped juice can that has a diameter of 5 inches and a height of 8 inches.



Five-Minute Checks

Image Bank

Math Tools

Area of Trapezoids

Drawing 3-D Figures

Area of Polygons


Lesson 11-1 (over Chapter 10)

Lesson 11-2 (over Lesson 11-1)









To use the images that are on the following three slides in your own presentation:

1. Exit this presentation.

2. Open a chapter presentation using a full installation of Microsoft® PowerPoint® in editing mode and scroll to the Image Bank slides.

3. Select an image, copy it, and paste it into your presentation.

A. A

B. B

C. C

D. D0% 0%0%0%

A. 147

B. 123

C. 57

D. 33

Find the value of x in the figure.

(over Chapter 10)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. acute; isosceles

B. isosceles; obtuse

C. obtuse; isosceles

D. acute; scalene

Classify the triangle by its angles and by its sides.

(over Chapter 10)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. x = 28 cm

B. x = 13.65 cm

C. x = 7 cm

D. x = 1.75 cm

Find the values of x in the pair of similar figures.

(over Chapter 10)

A. A

B. B

C. C

D. D

0% 0%0%0%

A. ΔNLR was reflected over the x-axis.

B. ΔNLR was reflected over the y-axis.

C. ΔNLR was reflected over both axes.

D. ΔNLR was not reflected.

Triangle NLR has vertices N(2, 2), L(1, 4), and R(1, 2). If Triangle N'L'R' has vertices N'(–2, 2), L'(–1, 4), and R'(–1, 2), what type of reflection was performed on triangle NLR?

(over Chapter 10)

A. A

B. B

C. C

D. D0% 0%0%0%

A. 209 in2

B. 198 in2

C. 99 in2

D. 60 in2

Find the area of the parallelogram. Round to the nearest tenth if necessary.

(over Lesson 11-1)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 19 yd2

B. 38 yd2

C. 42 yd2

D. 84 yd2

Find the area of the parallelogram. Round to the nearest tenth if necessary.

(over Lesson 11-1)

Determine whether the following statement is true or false. The height of a parallelogram is the distance from the base to the opposite side.

A. true

B. false 1. A

2. B

0%0%

A B

(over Lesson 11-1)

A. A

B. B

C. C

D. D

0% 0%0%0%

A. 28 cm

B. 32 cm

C. 31 cm

D. 30.5 cm

What is the height of a parallelogram if the base is 24 centimeters and the area is 744 square centimeters?

(over Lesson 11-1)

A. A

B. B

C. C

D. D0% 0%0%0%

A. 30.4 in2

B. 42 in2

C. 48.4 in2

D. 84 in2

Find the area of the figure. Round to the nearest tenth if necessary.

(over Lesson 11-2)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 28 cm2

B. 32 cm2

C. 36 cm2

D. 48 cm2


(over Lesson 11-2)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 148.8 m2

B. 158.4 m2

C. 316.8 m2

D. 375.1 m2


(over Lesson 11-2)

A. A

B. B

C. C

D. D

0% 0%0%0%

A. 338 yd2

B. 161.4 yd2

C. 80.7 yd2

D. 52 yd2

Find the area of a triangle whose base is 15.75 yards and whose height is 10.25 yards.

(over Lesson 11-2)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 35 ft2

B. 70 ft2

C. 150 ft2

D. 300 ft2

Bell has a triangular garden with a base of 20 feet and a height of 15 feet. Find the area of Bell’s garden.

(over Lesson 11-2)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 132.3 m2

B. 121.1 m2

C. 144.6 m2

D. 155.8 m2

A trapezoid has bases of 14.7 meters and 12.2 meters, and a height of 9 meters. What is the area of the trapezoid to the nearest tenth?

(over Lesson 11-2)

A. A

B. B

C. C

D. D

0% 0%0%0%

A. 15.7 ft

B. 31.4 ft

C. 78.5 ft

D. 3.14 ft

Find the circumference of the circle. Use 3.14 for . Round to the nearest tenth if necessary. radius = 5 ft

(over Lesson 11-3)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 35.2 in.

B. 17.6 in.

C. 70.3 in.

D. 7.0 in.

Find the circumference of the circle. Use 3.14 for . Round to the nearest tenth if necessary. diameter = 11.2 in.

(over Lesson 11-3)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 9.5

B. 19.1

C. 9.6

D. 4.8

Find the diameter of the circle. Use 3.14 for . Round to the nearest tenth if necessary. C = 30 ft, diameter = ___ ft

(over Lesson 11-3)

A. A

B. B

C. C

D. D

0% 0%0%0%

A. 24

B. 15.3

C. 3.0

D. 30.6

Find the diameter of the circle. Use 3.14 for . Round to the nearest tenth if necessary. C = 96 cm, diameter = ___ cm

(over Lesson 11-3)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 216 = d

B. C = × 108

C. 108 = × d

D. C = × 14.7

A coffee can has a circumference of 216 mm. Which equation could be used to find the diameter of the can in inches?

(over Lesson 11-3)

A. A

B. B

C. C

D. D0% 0%0%0%

A. 8.8 cm2

B. 12.3 cm2

C. 17.6 cm2

D. 24.6 cm2

Find the area of the circle. Round to the nearest tenth.

(over Lesson 11-4)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 50.3 ft2

B. 39.4 ft2

C. 25.1 ft2

D. 12.6 ft2


(over Lesson 11-4)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 40.9 m2

B. 81.7 m2

C. 132.7 m2

D. 256.6 m2


(over Lesson 11-4)

A. A

B. B

C. C

D. D

0% 0%0%0%

A. 111.5 yd2

B. 247.4 yd2

C. 494.6 yd2

D. 989.3 yd2

Find the area of the circle whose diameter is yards.

(over Lesson 11-4)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 339.1 in2

B. 141.3 in2

C. 84.8 in2

D. 75.4 in2

Find the area of the shaded region shown in the figure. Round to the nearest tenth.

(over Lesson 11-4)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 49 mm

B. 25 mm

C. 8 mm

D. 7 mm

What is the radius of a circle that has an area of 154 square millimeters?

(over Lesson 11-4)

A. A

B. B

C. C

D. D0% 0%0%0%

A. 200 ft2

B. 250 ft2

C. 450 ft2

D. 300 ft2

Mr. Cole decided to build a deck around his swimming pool. His pool is 25 feet by 10 feet and he wants the deck to be 2.5 feet wide. What will the area of the deck be?

(over Lesson 11-5)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. $48.28

B. $19.72

C. $20.40

D. $47.60

Over the weekend, Darrell spent $68. Of that, about 71% was spent on a game. About how much money was not spent on a game?

(over Lesson 11-5)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 72 bracelets

B. 96 bracelets

C. 48 bracelets

D. 144 bracelets

Becky can make 6 bracelets in 3 days. How many bracelets can she and two friends make in 8 days working at the same rate?

(over Lesson 11-5)

A. A

B. B

C. C

D. D0% 0%0%0%

A. 7

B. 8

C. 9

D. 10

The graph shows the results of the 2006 Winter Olympics. The U.S. received a total of 25 medals. How many were gold?

(over Lesson 11-5)

A. A

B. B

C. C

D. D0% 0%0%0%

A. 27.3 yd2

B. 28.3 yd2

C. 32.1 yd2

D. 41.5 yd2


(over Lesson 11-6)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 87 in2

B. 73.5 in2

C. 72 in2

D. 58.5 in2


(over Lesson 11-6)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 161 ft2

B. 129 ft2

C. 116 ft2

D. 102 ft2

India wants to carpet her bedroom and closet. If her bedroom is 10.5 feet by 11 feet and her closet is 4.5 feet by 3 feet, how much area does she need to carpet?

(over Lesson 11-6)

A. A

B. B

C. C

D. D0% 0%0%0%

A. 374 ft2

B. 278 ft2

C. 264 ft2

D. 208 ft2

Find the area of the figure.

(over Lesson 11-6)

A. A

B. B

C. C

D. D

0% 0%0%0%

A. square prism

B. square pyramid

C. rectangular prism

D. rectangular pyramid

Identify the shape of the base. Then classify the figure.

(over Lesson 11-7)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. rectangular prism

B. rectangular pyramid

C. pentagonal prism

D. pentagonal pyramid


(over Lesson 11-7)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. sphere

B. cylinder

C. cone

D. circular prism


(over Lesson 11-7)

A. A

B. B

C. C

D. D

0% 0%0%0%

A. rectangular prism

B. rectangular pyramid

C. square prism

D. square pyramid


(over Lesson 11-7)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. pentagonal prism

B. triangular prism

C. pentagonal prism

D. pentagonal pyramid

Which figure is shown?

(over Lesson 11-7)

A. A

B. B

C. C

D. D

Refer to the figure. Which option shows the top, side, and front views of the solid?

A. B.

C. D. 0% 0%0%0%

(over Lesson 11-8)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

Which option shows a solid, drawn using the top, side, and front views shown in the figure?

A. B.

C. D.

(over Lesson 11-8)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. rectangle

B. square

C. triangle

D. parallelogram

What is the side view of the figure?

(over Lesson 11-8)

A. A

B. B

C. C

D. D0% 0%0%0%

A. 330 in3

B. 300 in3

C. 121 in3

D. 85 in3

Find the volume of the rectangular prism shown in the figure. Round to the nearest tenth if necessary.

(over Lesson 11-9)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 11.6 cm3

B. 16.8 cm3

C. 34 cm3

D. 115.6 cm3

Find the volume of the rectangular prism shown in the figure. Round to the nearest tenth if necessary.

(over Lesson 11-9)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 18 in3

B. 36 in3

C. 216 in3

D. 1,296 in3

A cube has 6-inch edges. Find its volume.

(over Lesson 11-9)

A. A

B. B

C. C

D. D0% 0%0%0%

A. 6

B. 5

C. 4

D. 3

Kieran’s greenhouse is 25 feet long, 13 feet wide, and 14 feet high. She needs to know how many humidifiers to buy for the greenhouse. If each humidifier serves 1,000 ft3 how many humidifiers should she buy?

(over Lesson 11-9)

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 24 ft3

B. 60 ft3

C. 154 ft3

D. 240 ft3

What is the volume of a closet that is 6 feet wide, 4 feet deep, and 10 feet tall?

(over Lesson 11-9)

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