Changing Volume of Rectangular Prism

Rectangular prism A has a volume of 8 in³. Rectangular prism B has a volume of 32 in³. The length and width of both prisms is the same. If the height of the smaller prism is 2 inches, then what is the height of the larger prism?

• 4 inches

• 10 inches

• 6 inches

• 8 inches

If the width of the rectangular prism is doubled, which of the following is true?

• The volume increases by 28.

• The volume is eight times as large.

• The volume is half as large.

• The volume is twice as large.

• 2 cubic feet

• 12 cubic feet

• 18 cubic feet

• 108 cubic feet

If any one dimension of a rectangular prism (length, width, or height) changes size, the _________ of the rectangular prism changes by the same scale factor.

• surface area

• other dimensions

• radius

• volume

Both the width and the volume of a rectangular prism change by a scale factor of 4.  If the old width was 5 ft and the old volume was 250 cubic ft, what is the new width and volume?

• 20 ft. and 1,000 cubic ft.

• 1.25 ft. and 62.05 cubic ft.

• 20 cubic ft and 1,000 ft.

• 625 ft and 3,906,250,000 cubic ft

The height of a rectangular prism was 6 ft and the volume was 399 cubic ft.  The height changed to 3 ft.  What is the new volume?

• 798 cubic ft.

• 199.5 square ft.

• 798 square ft.

• 199.5 cubic ft.

The length of a rectangular prism is 4 inches and the volume is 220 cubic inches.  If the length changes so that the volume becomes 440 cubic inches, what is the new length?

• 8 square inches

• 8 inches

• 2 square inches

• 2 inches

The height of a rectangular prism is 20 ft and its volume is 328 cubic ft.  If the height is reduced to 5 ft, what is the new volume?

• 82 square ft

• 1,312 cubic ft

• 82 cubic ft

• 1,312 square ft

The volume of a rectangular prism changes from 1,250 cubic inches to 125 cubic inches.  What is the scale factor of the change?

• 1/2

• 1/10

• 10

• 1/5

The width of a rectangular prism is 12 cm and the volume is 180 cubic cm.  Both change by a scale factor of 1/12.  What is the new width and the new volume?

• 144 cm and 2,160 cubic cm

• 1 cm and 15 cubic cm

• 2 cm and 30 cubic cm

• 1 square cm and 15 cubic cm