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.
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.
Find the surface area of a hemisphere with radius of 6 meters. Round to the nearest tenth.
The surface area of a sphere is 36 square units. What is the radius of the sphere?
Lesson 1 Menu

2. Find volumes of cylinders.
Find volumes of prisms.
Find volumes of cylinders.
Lesson 1 MI/Vocab

3. Lesson 1 KC1

4. Volume of a Triangular Prism
Find the volume of the triangular prism.
V Bh Volume of a prism
1500 Simplify.
Answer: The volume of the prism is 1500 cubic centimeters.
Lesson 1 Ex1

5. Find the volume of the triangular prism.
A in3
B in3
C in3
D in3 A B C D
Lesson 1 CYP1

6. First, convert feet to inches.
The weight of water is 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.
Lesson 1 Ex2

7. 20,736 The volume is 20,736 cubic inches.
To find the pounds of water that would fit into the child’s pool, find the volume of the pool.
V Bh Volume of a prism
36(48)(12) B 36(48), h 12
20,736 The volume is 20,736 cubic inches.
Now multiply the volume by
20,736 × ≈ Simplify.
Answer: A rectangular child’s pool that is 12 inches deep, 3 feet wide, and 4 feet long, will hold about pounds of water.
Lesson 1 Ex2

8. The weight of water is 62. 4 pounds per cubic foot
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?
A. 252 lb
B. 17,971.2 lb
C. 16,178.4 lb
D. 15,724.8 lb A B C D
Lesson 1 CYP2

9. Lesson 1 KC2

10. A. Find the volume of the cylinder to the nearest tenth.
Volume of a Cylinder
A. Find the volume of the cylinder to the nearest tenth.
Volume of a cylinder
= π(1.8)2(1.8) r = 1.8, and h = 1.8
≈ 18.3 Use a calculator.
Answer: The volume is approximately 18.3 cm3.
Lesson 1 Ex3

11. B. Find the volume of the cylinder to the nearest tenth.
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
a h, b 8, and c 17
Multiply.
Lesson 1 Ex3

12. Subtract 64 from each side.
Volume of a Cylinder
Subtract 64 from each side.
h 15
Take the square root of each side.
Now find the volume.
Volume of a cylinder
r 4 and h 15
Use a calculator.
Answer: The volume is approximately cubic feet.
Lesson 1 Ex3

13. A. Find the volume of the cylinder to the nearest tenth.
A cm3
B cm3
C cm3
D cm3 A B C D
Lesson 1 CYP3

14. B. Find the volume of the cylinder to the nearest tenth.
A m3
B m3
C m3
D. 18,849.6 m3 A B C D
Lesson 1 CYP3

15. Lesson 1 KC3

16. 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.
Volume of a cylinder
r 15, h 25
Use a calculator.
Answer: The volume is approximately 17,671.5 cubic feet.
Lesson 1 Ex4

17. Find the volume of the oblique cylinder to the nearest tenth.
A cm3
B. 16,725.8 cm3
C cm3
D cm3 A B C D
Lesson 1 CYP4