TAKS Short CourseObjective 4

8th Grade

8.8(A) The student is expected to find lateral and total surface area of prisms, pyramids, and cylinders using concrete models and nets (two-dimensional models)

1. Mrs. Juárez has a cylindrical pincushion with the net shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the net in centimeters.

Find the lateral surface area of the cylindricalpincushion to the nearest tenth of a centimeter?

2

2

2

13

)(2

)(2

cm

hdrsa

hda

ra

2. For small paving jobs, a contractor uses a roller pushed by a worker.

To the nearest square inch, what is the area of

pavement with which the surface of the roller will

come into contact in one complete rotation?

A) 753 in2 B) 1,507 in2

C) 1,708 in2 D) 1,909 in2

20.507,1

3013.316

a

a

hda

cha

B) 1,507 in2

3. Moffett’s Candy Factory makes candy in the shape of cylinders. The net of a cylindrical piece of candy is shown below.

Which is closest to the total surface area of this piece of candy?A) 31 cm2 B) 19 cm2

C) 44 cm2 D) 75 cm2

96.43

84.1812.25

4)4(2

)(2 2

SA

SA

SA

chrsa

C) 44 cm2

8.8(C) The student is expected to estimate measurements and use formulas to solve application problems involving lateral and total surface area and volume.

4. Jonathan shipped a birthday gift to his grandmother in a cubical box.

Which is closest to the surface area of the box?

A) 16 square feetB) 15 square feetC) 8 square feetD) 38 square feet

D) 38 square feet

5.37

)25.6(6

)5.25.2(6

5. A cardboard box is 60 inches long, 18 inches wide, and 24 inches high. Find the volume of the box to the nearest cubic foot?

A) 8.5 ft3 B) 15 ft3

C) 18 ft3 D) 24 ft3

60 inches long, 18 inches wide, and 24 inches

3155.125

212

24,5.1

12

18,5

12

60

feet

feetfeetfeet

B) 15 ft3

6. Deb has a rectangular storage box with a height of 18 inches, as shown below.

If Deb cuts off a 2-inch strip around the top of the box, what will be the new volume of the box in cubic inches?

A) 1,600 in.3 B) 1,440 in.3

C) 1,024 in.3 D) 1,800 in.3

A) 1,600 in.3

3600,116100

)218(1010

inches

8.9(A) The student is expected to use the Pythagorean Theorem to solve real-life problems;

Find the length of the walkway to the nearest foot?

7. Mr. Elliott designed a flower garden in the shape of a square. He plans to build a walkway through the garden, as shown below.

feetor

feet

cba

17

97.16288

288144144

1212 22

222

8. A cell-phone tower that has a transmission range of 50 miles is located 40 miles due south of a straight road.

Find x, the length of the section of road that is within the transmission range of the tower.

miles

a

a

a

abc

60)30(2

30900

900

16002500

4050

2

2

222

222

What is the minimum length of lights Mrs. Gonzáles will need?

A) 5 ft B) 7 ftC) 10 ft D) 14 ft

9. Mrs. Gonzáles wants to string lights along both diagonals of a rectangular window, as

shown below.

C) 10 ft

4 feet

feet

a

c

cba

1025

5

25169

43 222

222

10.A ladder that is 13 feet long leans against a building. The bottom of the ladder is 5 feet away from the base of the building. How far up the side of the building does the ladder reach?

A) 18 ft B) 16 ft

C) 12 ft D) 8 ft

feet

a

abc

12

14416169

513 222

222

C) 12 ft

8.9(B) The student is expected to use proportional relationships in similar two-dimensional figures or three-dimensional figures to find missing measurements.

11. Trapezoid STUV is similar to trapezoid NOPQ.

What is the length of OP?

A) 4 cm B) 5 cm

C) 28 cm D) 36 cm

B) 5 cm

14.514

72

1472

14612614

12

x

x

x

x

12. ∆EFG is similar to ∆HJK.

Find the length of JK.

x

x

x

7

75.10

5.73

5.105.3215.35.10

21

13. The picture below is Larry’s favorite picture

Larry had a reduced copy of the picture made as a gift for his father. If the reduced picture was similar to the original and the height of the reduced picture was 7 inches, what was its width?

A) 13 in. B) 5.60 in.C) 8.75 in. D) 10 in.

C) 8.75 in.

75.824

210

21024

7

30

24

x

xx

8.10(A) The student is expected to describe the resulting effects on perimeter and area when dimensions of a shape are changed proportionally

14. Rectangle STUV is similar to rectangle LMNO.

If the area of rectangle STUV is 72 square units, what is the area of rectangle LMNO?

A) 36 units2 B) 24 units2

C) 18 units2 D) 12 units2

21836

312

36

12

12

6

6

12

612

72

units

x

xx

C)18 units2

8.10 (B) The student is expected to describe the resulting effect on volume when dimensions of a solid are changed proportionally.

The volume of the smaller cube is 64 cubic feet. Find the volume of the larger cube.A) 16,384 ft3

B) 4,096 ft3

C) 768 ft3

D) 256 ft3

15. The dimensions of two cubes are shown below.

B) 4,096 ft3

3096,4

161616

164

4

44464

ft

x

x