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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?
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.
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.
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.
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
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?
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.
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
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
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.
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.
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
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.
