Please take a new warm up template and complete the
warm up!
Tuesday, March 13th
Warm Up1 and 2
Find the area of the shape
4 in 4 in
6.2 in
2 in
Joke of the DayBasketball Week
Why are basketball players
messy eaters?
They are always dribbling
Week at a GlanceToday: SA and V of Prisms
Wednesday: Pi Day! Prism ActivityThursday: SA and V Cylinders Friday: *Progress Reports
Cylinder and Prism ActivityMonday: Checkpoint Prisms & Cylinders
• Keep everything in the FRONT of your binder (goal sheet, warm ups, syllabus, CRCTS< etc.)
• Put everything GRADED in your PORTFOLIO
• Throw everything else away
Binder Clean out
Composite Figures Worksheet
Due at 2:10
The surface area of a three-dimensional figure is the sum of the areas of its surfaces. Units squared!
To help you see all the surfaces of a three-dimensional figure, you can use
a net. A net is the pattern made when the surface of a three-dimensional figure is layed out flat showing each face of the figure.
COVER
Rectangular PrismsRectangular Prisms- have a total of 6 faces. We need to find the area for all 6 faces, and then add them together (remember- some faces will be congruent)
Part 1: Surface Area 1. Using a Net
2. Using a Formula
Find the surface area S of the prism.Use a net!
Draw a net to help you see each face of the prism.
Use the formula A = lw to find the area of each face.
#1 Try Together!
Finding the Areas of each!
A: A = 5 2 = 10B: A = 12 5 = 60C: A = 12 2 = 24D: A = 12 5 = 60E: A = 12 2 = 24F: A = 5 2 = 10
S = 10 + 60 + 24 + 60 + 24 + 10 = 188Add the areas of each face.
The surface area is 188 in2.
#2 You Try
Let’s Label the Rectangles!
You Try #3Rectangle
Remember!Area of a TRIANGLE is
½ x b x h
You Try #2Triangular Prism
12 in5 in
4 in
It has FIVE faces!
Surface Area with Formulas
#1 Try Together!SA= 2(lw)+2(wh)+2(lh) SA=_____________+_____________+___________ SA=_____________+_____________+___________ SA=_________
#2 You Try! SA= 2(lw)+2(wh)+2(lh) SA=_____________+_____________+___________ SA=_____________+_____________+___________ SA=_________
Why is finding Surface Area of a cube going to be easier?
Since a cube has 6 faces we can really find
the area of just ONE face and then MULTIPLY
it by 6!
Cube: Try together!
7 in
1 face= 7 x 7=49
49 x 6 =
Part 2: Volume
It takes 10, or 5 · 2, centimeter cubes to cover the bottom layer of this rectangular prism.
There are 3 layers of 10 cubes each to fill the prism. It takes 30, or 5 · 2 · 3, cubes.
Volume is expressed in cubic units, so the volume of the prism is 5 cm · 2 cm · 3 cm = 30 cm3.
VOLUME
• To find the volume of any prism, you can use the formula V= Bh. Where B is the area of the base, and h is the prism’s height.
• The base of a RECTANGULAR prism is a rectangle so the base is: l x w
• To find the volume of a triangular prism, B is the area of the triangular base so the base is: ½ x b x h
FORMULA SHEET
a=Bh Rectangular Prism: l x w
Cylinder Prism: π 𝒓 ²
V = lwh Write the formula.
V = 26 • 11 • 13 l = 26; w = 11; h = 13
Multiply.V = 3,718 in3
13 in.
26 in.11 in.
#1 Try Togetherv=Bh
B= l x w
V = lwh Write the formula.
V = 29 • 12 • 16 l = 29; w = 12; h = 16
Multiply.V = 5,568 in3
16 in.
29 in.12 in.
#2 Try Togetherv=Bh
B= l x w
A rectangular prism with base length 6 ft, width
5 ft, and height 7 ft
#3 You Try!a=Bh
B= l x w
V = Bh Write the formula.V = ( • 3.9 • 1.3) • 41
2__ B = • 3.9 • 1.3; h = 4.1
2__
Multiply.V = 10.14 m3
#3 Try Together!a=Bh
B= ½ x b x h