Surface Area Volume and Changing Dimensions

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 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

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

A rectangular prism has a volume of 24 cm³. If the height of the prism triples, and the other two dimensions stay the same, what is the new volume?

• 72 cm³

• 8 cm³

• 12 cm³

• 48 cm³

Kaitlyn has a rectangular prism that has the same dimensions as the one shown except for the height 4 times as tall. What is true about the volume of Kaitlyn's rectangular prism?

• Her prism's volume is 4 cubic centimeters less than the volume of the prism above.

• Her prism's volume is 4 cubic centimeters more than the volume of the prism above.

• Her prism's volume is 4 times the volume of the prism above.

The volume of a rectangular prism is 250 m³. If the height is multiplied by a scale factor of 1/2, what is the new volume?

• 250 m³

• 500 m³

• 125 m³

• 75 m³

The volume of a rectangular solid is 960 cubic inches. The dimensions of the base are 12 inches by 10 inches. What is the height of the solid?

• 8 inches

• 80 inches

• 9.6 inches

• 10 inches

Carl's rectangular swimming pool has a volume of 600 cubic feet. The neighbor's pool has the same length and height, but the width is three times larger. What is the volume of the neighbor's pool?

• 1800 cubic feet

• 1200 cubic feet

• 900 cubic feet

• 600 cubic feet