Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–4) CCSS Then/Now Key Concept: Volume...
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Transcript of Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–4) CCSS Then/Now Key Concept: Volume...
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Five-Minute Check (over Lesson 12–4)
CCSS
Then/Now
Key Concept: Volume of a Pyramid
Example 1: Volume of a Pyramid
Key Concept: Volume of a Cone
Example 2: Volume of a Cone
Example 3: Real-World Example: Find Real-World Volumes
Concept Summary: Volumes of Solids
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Over Lesson 12–4
A. 240 in3
B. 200 in3
C. 120 in3
D. 100 in3
Find the volume of the prism. Round to the nearest tenth if necessary.
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Over Lesson 12–4
A. 240 in3
B. 200 in3
C. 120 in3
D. 100 in3
Find the volume of the prism. Round to the nearest tenth if necessary.
![Page 5: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–4) CCSS Then/Now Key Concept: Volume of a Pyramid Example 1:Volume of a Pyramid Key Concept:](https://reader030.fdocuments.us/reader030/viewer/2022032709/56649ec75503460f94bd4337/html5/thumbnails/5.jpg)
Over Lesson 12–4
A. 785.4 cm3
B. 547.3 cm3
C. 314.2 cm3
D. 157.1 cm3
Find the volume of the cylinder. Round to the nearest tenth if necessary.
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Over Lesson 12–4
A. 785.4 cm3
B. 547.3 cm3
C. 314.2 cm3
D. 157.1 cm3
Find the volume of the cylinder. Round to the nearest tenth if necessary.
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Over Lesson 12–4
A. 627.5 m3
B. 843.4 m3
C. 986.4 m3
D. 1017.9 m3
What is the volume of the cylinder. Round to the nearest tenth if necessary.
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Over Lesson 12–4
A. 627.5 m3
B. 843.4 m3
C. 986.4 m3
D. 1017.9 m3
What is the volume of the cylinder. Round to the nearest tenth if necessary.
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Over Lesson 12–4
A. 225.4 ft3
B. 203.7 ft3
C. 183.8 ft3
D. 152.8 ft3
What is the volume of the prism? Round to the nearest tenth if necessary.
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Over Lesson 12–4
A. 225.4 ft3
B. 203.7 ft3
C. 183.8 ft3
D. 152.8 ft3
What is the volume of the prism? Round to the nearest tenth if necessary.
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Over Lesson 12–4
A. 1110 yd3
B. 1227 yd3
C. 1512 yd3
D. 2012 yd3
Find the volume of a rectangular prism with a length of 12 yards, a width of 14 yards, and a height of 9 yards.
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Over Lesson 12–4
A. 1110 yd3
B. 1227 yd3
C. 1512 yd3
D. 2012 yd3
Find the volume of a rectangular prism with a length of 12 yards, a width of 14 yards, and a height of 9 yards.
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Over Lesson 12–4
A. 65.5 ft2
B. 131 ft2
C. 650 ft2
D. 660 ft2
The volume of a triangular prism is 655 cubic feet. The height of the prism is 5 feet. Find the area of one triangular base.
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Over Lesson 12–4
A. 65.5 ft2
B. 131 ft2
C. 650 ft2
D. 660 ft2
The volume of a triangular prism is 655 cubic feet. The height of the prism is 5 feet. Find the area of one triangular base.
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Content Standards
G.GMD.1 Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone.
G.GMD.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
Mathematical Practices
1 Make sense of problems and persevere in solving them.
7 Look for and make use of structure.
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You found surface areas of pyramids and cones.
• Find volumes of pyramids.
• Find volumes of cones.
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Volume of a Pyramid
Find the volume of the square pyramid.
Answer:
Volume of a pyramid
Multiply. 21
s 3, h 7
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Volume of a Pyramid
Find the volume of the square pyramid.
Answer: The volume of the pyramid is 21 cubic inches.
Volume of a pyramid
Multiply. 21
s 3, h 7
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Brad is building a model pyramid for a social studies project. The model is a square pyramid with a base edge of 8 feet and a height of 6.5 feet. Find the volume of the pyramid.
A. 416 ft3
B.
C.
D.
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Brad is building a model pyramid for a social studies project. The model is a square pyramid with a base edge of 8 feet and a height of 6.5 feet. Find the volume of the pyramid.
A. 416 ft3
B.
C.
D.
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Volume of a Cone
A. Find the volume of the oblique cone to the nearest tenth.
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Volume of a Cone
Answer:
Use a calculator.
Volume of a cone
r = 9.1, h = 25
≈ 2168.0
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Volume of a Cone
Answer: The volume of the cone is approximately 2168.0 cubic feet.
Use a calculator.
Volume of a cone
r = 9.1, h = 25
≈ 2168.0
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Volume of a Cone
B. Find the volume of the cone to the nearest tenth.
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Volume of a Cone
Answer:
Use a calculator.
Volume of a cone
r = 5, h = 12
≈ 314.2
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Volume of a Cone
Answer: The volume of the cone is approximately 314.2 cubic inches.
Use a calculator.
Volume of a cone
r = 5, h = 12
≈ 314.2
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A. 444.4 m3
B. 27,463.2 m3
C. 3051.5 m3
D. 9154.4 m3
A. Find the volume of the oblique cone to the nearest tenth.
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A. 444.4 m3
B. 27,463.2 m3
C. 3051.5 m3
D. 9154.4 m3
A. Find the volume of the oblique cone to the nearest tenth.
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A. 3015.9 m3
B. 125.7 m3
C. 1005.3 m3
D. 251.3 m3
B. Find the volume of the cone to the nearest tenth.
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A. 3015.9 m3
B. 125.7 m3
C. 1005.3 m3
D. 251.3 m3
B. Find the volume of the cone to the nearest tenth.
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Find Real-World Volumes
SCULPTURE At the top of a stone tower is a pyramidion in the shape of a square pyramid. This pyramid has a height of 52.5 centimeters and the base edges are 36 centimeters. What is the volume of the pyramidion? Round to the nearest tenth.
Volume of a pyramid
Answer:
B = 36 ● 36, h = 52.5
Simplify.
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Find Real-World Volumes
SCULPTURE At the top of a stone tower is a pyramidion in the shape of a square pyramid. This pyramid has a height of 52.5 centimeters and the base edges are 36 centimeters. What is the volume of the pyramidion? Round to the nearest tenth.
Volume of a pyramid
Answer: The volume of the pyramidion is 22,680 cubic centimeters.
B = 36 ● 36, h = 52.5
Simplify.
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A. 18,775 cm3
B. 19,500 cm3
C. 20,050 cm3
D. 21,000 cm3
SCULPTURE In a botanical garden is a silver pyramidion in the shape of a square pyramid. This pyramid has a height of 65 centimeters and the base edges are 30 centimeters. What is the volume of the pyramidion? Round to the nearest tenth.
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A. 18,775 cm3
B. 19,500 cm3
C. 20,050 cm3
D. 21,000 cm3
SCULPTURE In a botanical garden is a silver pyramidion in the shape of a square pyramid. This pyramid has a height of 65 centimeters and the base edges are 30 centimeters. What is the volume of the pyramidion? Round to the nearest tenth.
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