Five-Minute Check (over Lesson 12–3)

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

Over Lesson 12–3

A. 600 in2

B. 623.2 in2

C. 635.3 in2

D. 647.4 in2

Find the surface area of the regular pyramid.

Over Lesson 12–3

A. 628.3 ft2

B. 642.3 ft2

C. 677.8 ft2

D. 753.9 ft2

Find the surface area of the cone.

Over Lesson 12–3

A. 420 ft2

B. 480 ft2

C. 679.8 ft2

D. 710 ft2

Find the surface area of the regular pyramid.

Over Lesson 12–3

A. 214.2 m2

B. 221.0 m2

C. 233.4 m2

D. 247.5 m2

Find the surface area of the cone.

Over Lesson 12–3

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.

Over Lesson 12–3

A. 204.2 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.

You found surface areas of prisms and cylinders. (Lesson 12–2)

• Find volumes of prisms.

• Find volumes of cylinders.

Volume of a Prism

1. Find the volume of the prism.

A. 6480 in3

B. 8100 in3

C. 3240 in3

D. 4050 in3

2. Find the volume of the prism.

Volume of a Cylinder

3. Find the volume of the cylinder to the nearest tenth.

4. Find the volume of the cylinder to the nearest tenth.

Volume of an Oblique Solid

5. Find the volume of the oblique cylinder to the nearest tenth.

A. 1520.5 cm3

B. 16,725.8 cm3

C. 5324 cm3

D. 8362.9 cm3

6. Find the volume of the oblique cylinder to the nearest tenth.

Homework: Page 850 (1-9) all