Tuesday, February 21 st
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Transcript of Tuesday, February 21 st
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Tuesday, February 21st • Please complete warm up and write down the
Homework
WARM UP1. Solve the Proportion
2. Find the Surface Area
12
23 9
x
4 in.3 in.5 in.
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Joke of the Day What candy is never on
time?
Choco-late
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Weekly Review Answers
Interims are only 2 weeks away!!!!!!!!!!
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Goal for today
Volume and Surface Area Triangular
AND Rectangular
PRISMS
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Surface Area
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How would you describe:
Net
Volume
And
Surface Area
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Part 1: Surface Area
1. Using a Net
2. Using a Formula
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Find the area to each shape in the net. Add the areas up to find the TOTAL AREA
Draw a net to help you see each face of the prism.
Use the formula A = lw to find the area of each face.
Nets
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Finding the Areas of each!
A: A = 5 2 = 10
B: A = 12 5 = 60
C: A = 12 2 = 24
D: A = 12 5 = 60
E: A = 12 2 = 24
F: A = 5 2 = 10
S = 10 + 60 + 24 + 60 + 24 + 10 = 188Add the areas of each face.
The surface area is 188 in2.
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You Try #1Rectangle
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Remember!
Area of a TRIANGLE is
½ x b x h
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You Try #2Triangular Prism
12 in
5 in
4 in
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You Try #3Triangular Prism
11 in
7 in3 in
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Surface Area with Formulas
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#1 Try Together!
SA= 2(lw)+2(wh)+2(lh) SA=_____________+_____________+___________ SA=_____________+_____________+___________ SA=_________
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#2 You Try!
SA= 2(lw)+2(wh)+2(lh) SA=_____________+_____________+___________ SA=_____________+_____________+___________ SA=_________
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Part 2: Volume
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• 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
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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.
#1 You Try!A=bh
B= l x w
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A rectangular prism with base length 6 ft, width
5 ft, and height 7 ft
#2 You Try!A=bh
B= l x w
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V = Bh Write the formula.
V = ( • 3.9 • 1.3) • 412__ 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
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The bases of a prism are always two congruent, parallel polygons.
Caution!
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V = Bh Write the formula.
V = ( • 6.5 • 7) • 612__ B = • 6.5 • 7; h = 6.1
2__
Multiply.V = 136.5 ft 3
#4 You TryA=bh
B= ½ x b x h
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V = Bh Write the formula.
V = ( • 4.5 • 9) • 512__ B = • 4.5 • 9; h = 5.1
2__
Multiply.V = 101.25 ft3
4.5 ft5 ft
9 ft
#5 You TryA=bh
B= ½ x b x h