10.2: Using the Volume Formula

What is the formula for the volume of a prism?

• V = P*h
• V = B*h
• V = (1/3)P*h
• V = (1/3)B*h

Tags

CCSS.7.G.B.6

Zoey wants to find the volume of the prism.

Which expressions could she use to find the volume?

Choose all that are correct.

• 4 x 3 x 3

• 12 + 12 + 12

• 12³

• 3 x 12

• 4 + 3 + 3

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.4

CCSS.5.MD.C.5

CCSS.5.MD.C.6

A saxophone case is shaped like a rectangular prism. The case is 8 inches tall, 3 inches wide, and has a volume of 312 cubic inches.

What is the length of the case?

• 13 inches

• 24 inches

• 39 inches

• 288 inches

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.5

The number of layers in a prism is related to the:

• width

• height

• area of the base

• volume

Tags

CCSS.5.MD.C.5C

Hannah has a box that is 7 inches long, 2 inches wide, and 3 inches tall.

What is the volume of the box?

• 12 cubic inches

• 14 cubic inches

• 36 cubic inches

• 42 cubic inches

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.4

CCSS.5.MD.C.5

CCSS.5.MD.C.6

What does the "B" in the volume formula V = B x h stand for?

• Bottom of the object
• Box
• Between
• Area of the base

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.5

• 55 yd³
• 121 yd³
• 22 yd³
• 330 yd³

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.4

CCSS.5.MD.C.5

CCSS.5.MD.C.6

A cereal box is 12cm tall.  The area of the base is 7cm.  What is the volume?

• 84 cm²
• 84 cm³
• 83 cm
• 84

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.4

CCSS.5.MD.C.5

CCSS.5.MD.C.6

If a rectangular prism's volume is 420cm³.  The prism has a  length of 12cm, and width of 7cm, what is height of the rectangular prism? 

• 12cm
• 5cm
• 420cm
• 84cm

Tags

CCSS.7.G.B.6

Joy wants to create a box with a volume of 8 cubic units. Which dimensions would work?

• length: 8 units
  width: 8 units
  height: 8 units
• length: 2 units
  width 4 units
  height: 3 units
• length: 4 units
  width: 2 units
  height: 2 units
• length: 2 units
  width: 4 units
  height: 1 unit

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2