lesson 1 menu 1.find the surface area of a rectangular prism with length of 6 inches, width of 5...
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1. Find the surface area of a rectangular prism with length of 6 inches, width of 5 inches, and height of 4.5 inches. Round to the nearest tenth.
2. Find the surface area of a cone with slant height of 4.3 centimeters and radius of 3.5 centimeters. Round to the nearest tenth.
3. Find the surface area of a hemisphere with radius of 6 meters. Round to the nearest tenth.
4. The surface area of a sphere is 36 square units. What is the radius of the sphere?
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Volume of a Triangular Prism
Answer: The volume of the prism is 1500 cubic centimeters.
V Bh Volume of a prism
1500 Simplify.
Find the volume of the triangular prism.
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A. A
B. B
C. C
D. D
A. 6480 in3
B. 8100 in3
C. 3240 in3
D. 4050 in3
Find the volume of the triangular prism.
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The weight of water is 0.036 pounds times the volume of water in cubic inches. How many pounds of water would fit into a rectangular child’s pool that is 12 inches deep, 3 feet wide, and 4 feet long?
First, convert feet to inches.
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To find the pounds of water that would fit into the child’s pool, find the volume of the pool.
Now multiply the volume by 0.036.
20,736 × 0.036 ≈ 746.5 Simplify.
Answer: A rectangular child’s pool that is 12 inches deep, 3 feet wide, and 4 feet long, will hold about 746.5 pounds of water.
V Bh Volume of a prism
20,736 The volume is 20,736 cubic inches.
36(48)(12) B 36(48), h 12
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1. A
2. B
3. C
4. D
A. 252 lb
B. 17,971.2 lb
C. 16,178.4 lb
D. 15,724.8 lb
The weight of water is 62.4 pounds per cubic foot. How many pounds of water would fit into a back yard pond that is rectangular prism 3 feet deep, 7 feet wide, and 12 feet long?
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Volume of a Cylinder
A. Find the volume of the cylinder to the nearest tenth.
Answer: The volume is approximately 18.3 cm3.
Volume of a cylinder
= π(1.8)2(1.8) r = 1.8, and h = 1.8
≈ 18.3 Use a calculator.
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Volume of a Cylinder
B. Find the volume of the cylinder to the nearest tenth.
The diameter of the base, the diagonal, and the lateral edge of the cylinder form a right triangle. Use the Pythagorean Theorem to find the height.
Pythagorean Theorem
Multiply.
a h, b 8, and c 17
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Volume of a Cylinder
Answer: The volume is approximately 754.0 cubic feet.
Volume of a cylinder
Now find the volume.
Use a calculator.
Subtract 64 from each side.
Take the square root of each side.h 15
r 4 and h 15
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1. A
2. B
3. C
4. D
A. 62.8 cm3
B. 628.3 cm3
C. 125.7 cm3
D. 1005.3 cm3
A. Find the volume of the cylinder to the nearest tenth.
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1. A
2. B
3. C
4. D
A. 4712.4 m3
B. 2356.2 m3
C. 471.2 m3
D. 18,849.6 m3
B. Find the volume of the cylinder to the nearest tenth.
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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 an Oblique Solid
Volume of a cylinder
Use a calculator.
r 15, h 25
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A. A
B. B
C. C
D. D
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.