• volume

• cylinder• composite solid

• Find the volumes of prisms and cylinders.

Find the Volumes of Prisms

Find the volume of the rectangular prism.

Answer: The volume is 385 cubic inches.

Volume of a prism

Simplify.

1. A

2. B

3. C

4. D0% 0%0%0%

A. 90 in3

B. 120 in3

C. 126 in3

D. 148 in3

Find the volume of the rectangular prism.

Find the Volumes of Prisms

Find the volume of the triangular prism.

Answer: The volume is 270 cubic feet.

Volume of a prism

Simplify.

The height of the prism is 4.

The base is a triangle, so B =

1. A

2. B

3. C

4. D0% 0%0%0%

A. 22 ft3

B. 30 ft3

C. 37 ft3

D. 45 ft3

Find the volume of the triangular prism.

Find the Volume of a Cylinder

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

Answer: The volume is about 339.3 cubic centimeters.

Volume of a cylinder

Replace r with 3 and h with 12.

V ≈ 339.3 Simplify.

1. A

2. B

3. C

4. D0% 0%0%0%

A. 140.1 in3

B. 152.5 in3

C. 169.6 in3

D. 183.4 in3

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

TOYS A wooden block has a single hole drilled entirely through it. What is the volume of the block? Round to the nearest hundredth.

The block is a rectangular prism with a cylindrical hole. To find the volume of the block, subtract the volume of the cylinder from the volume of the prism.

Find the Volume of a Composite Solid

Answer: The volume of the box is about 72 – 9.42 or 62.58 cubic centimeters.

Find the Volume of a Composite Solid

Rectangular Prism Cylinder

≈

1. A

2. B

3. C

4. D

0% 0%0%0%

A. 98 in3

B. 104 in3

C. 112 in3

D. 115 in3

HOBBIES A small wooden cube has been glued to a larger wooden block for a whittling project. What is the volume of the wood to be whittled?

1. A

2. B

3. C

4. D

0% 0%0%0%

A. plane EFGH

B. plane DHGF

C. plane BCGH

D. plane ABCE

In the figure shown, identify a plane parallel to plane ABCD.

(over Lesson 7-4)

1. A

2. B

3. C

4. D

0% 0%0%0%

(over Lesson 7-4)

A. AH

B. DE

C. FG

D. EG

In the figure shown, identify a line skew to AB.

1. A

2. B

3. C

4. D0% 0%0%0%

A. points E and F

B. points A and B

C. points A and E

D. points E and C

In the figure shown, identify two points that form a diagonal when connected.

(over Lesson 7-4)

1. A

2. B

3. C

4. D0% 0%0%0%

A. cube; 6 faces, all squares; 12 edges; 8 vertices

B. cube; 4 faces, all squares; 12 edges; 8 vertices

C. cube; 4 faces, all squares; 8 edges; 12 vertices

D. cube; 6 faces, all squares; 8 edges; 12 vertices

Identify the solid shown. Name the number and shapes of the faces. Then name the number of edges and vertices.

(over Lesson 7-4)

1. A

2. B

3. C

4. D0% 0%0%0%

A. rectangular prism; 4 faces, all rectangles; 12 edges; 8 vertices

B. rectangular prism; 4 faces, all rectangles; 8 edges; 12 vertices

C. rectangular prism; 6 faces, all rectangles; 12 edges; 8 vertices

D. rectangular prism; 6 faces, all rectangles; 8 edges; 12 vertices

Identify the solid shown. Name the number and shapes of the faces. Then name the number of edges and vertices.

(over Lesson 7-4)

1. A

2. B

3. C

4. D0% 0%0%0%

A. face

B. vertex

C. base

D. edge

Which of the following is represented by a point?

(over Lesson 7-4)