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Splash Screen. Five-Minute Check (over Lesson 12–3) NGSSS Then/Now Key Concept : Volume of a Prism Example 1: Volume of a Prism Key Concept: Volume of a Cylinder Example 2: Volume of a Cylinder Key Concept: Cavalieri’s Principle Example 3: Volume of an Oblique Solid - PowerPoint PPT PresentationTRANSCRIPT
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Five-Minute Check (over Lesson 12–3)
NGSSS
Then/Now
Key Concept : Volume of a Prism
Example 1: Volume of a Prism
Key Concept: Volume of a Cylinder
Example 2: Volume of a Cylinder
Key Concept: Cavalieri’s Principle
Example 3: Volume of an Oblique Solid
Example 4: Standardized Test Example
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Over Lesson 12–3
A. A
B. B
C. C
D. D A B C D
0% 0%0%0%
A. 600 in2
B. 623.2 in2
C. 635.3 in2
D. 647.4 in2
Find the surface area of the regular pyramid.
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Over Lesson 12–3
A. A
B. B
C. C
D. D A B C D
0% 0%0%0%
A. 628.3 ft2
B. 642.3 ft2
C. 677.8 ft2
D. 753.9 ft2
Find the surface area of the cone.
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Over Lesson 12–3
A. A
B. B
C. C
D. D A B C D
0% 0%0%0%
A. 420 ft2
B. 480 ft2
C. 679.8 ft2
D. 710 ft2
Find the surface area of the regular pyramid.
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Over Lesson 12–3
A. A
B. B
C. C
D. D A B C D
0% 0%0%0%
A. 214.2 m2
B. 221.0 m2
C. 233.4 m2
D. 247.5 m2
Find the surface area of the cone.
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Over Lesson 12–3
A. A
B. B
C. C
D. D A B C D
0% 0%0%0%
A. 80 ft2
B. 200 ft2
C. 240 ft2
D. 260 ft2
Find the surface area of a square pyramid with base length of 10 feet and slant height of 8 feet.
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Over Lesson 12–3
A. A
B. B
C. C
D. D A B C D
0% 0%0%0%
A. 204.1 cm2
B. 282.7 cm2
C. 408.4 cm2
D. 722.6 cm2
Find the lateral area of a cone with a diameter length of 10 centimeters and a slant height of 13 centimeters. Round your answer to the nearest tenth.
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MA.912.G.7.5 Explain and use formulas for lateral area, surface area, and volume of solids.
MA.912.G.7.7 Determine how changes in dimensions affect the surface area and volume of common geometric solids.
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You found surface areas of prisms and cylinders. (Lesson 12–2)
• Find volumes of prisms.
• Find volumes of cylinders.
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Volume of a Prism
Answer: The volume of the prism is 1500 cubic centimeters.
V Bh Volume of a prism
1500 Simplify.
Find the volume of the prism.
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A. A
B. B
C. C
D. D A B C D
0% 0%0%0%
A. 6480 in3
B. 8100 in3
C. 3240 in3
D. 4050 in3
Find the volume of the prism.
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Volume of a Cylinder
Find the volume of the cylinder to the nearest tenth.
Answer: The volume is approximately 18.3 cm3.
Volume of a cylinder
≈ 18.3 Use a calculator.
= (1.8)2(1.8) r = 1.8 and h = 1.8
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A. A
B. B
C. C
D. D A B C D
0% 0%0%0%
A. 62.8 cm3
B. 628.3 cm3
C. 125.7 cm3
D. 1005.3 cm3
Find the volume of the cylinder to the nearest tenth.
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Volume of an Oblique Solid
Find the volume of the oblique cylinder to the nearest tenth.
To find the volume, use the formula for a right cylinder.
Answer: The volume is approximately 17,671.5 cubic feet.
Volume of a cylinder
Use a calculator.
r 15, h 25
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A. A
B. B
C. C
D. D A B C D
0% 0%0%0%
A. 1520.5 cm3
B. 16,725.8 cm3
C. 5324 cm3
D. 8362.9 cm3
Find the volume of the oblique cylinder to the nearest tenth.
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Prisms A and B have the same width and height, but different lengths. If the volume of Prism B is 128 cubic inches greater than the volume of Prism A,what is the length of each prism?
A 12 B 8
C 4 D 3.5
Prism A Prism B
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Read the Test Item
You know the volume of each solid and that the difference between their volumes is 128 cubic inches.
Solve the Test Item
Volume of Prism B –
Volume of Prism A = 128 Write an equation.
4x ● 9 – 4x ● 5 = 128 Use V = Bh.
16x = 128 Simplify.
x = 8 Divide each side by 16.
Answer: The length of each prism is 8 inches. The correct answer is B.
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A. A
B. B
C. C
D. D A B C D
0% 0%0%0%
A. 4 in.
B. 6 in.
C. 8 in.
D. 10.5 in.
Prisms A and B have the same width and height, but different lengths. If the volume of Prism B is 192 cubic inches greater than the volume of Prism A,what is the length of each prism?
Prism A
Prism B
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