Rectangular Prisms Change Scales

Robert is buying trash bags for his trashcan, but first needs to find the volume of his trashcan to decide on what size bags he needs. His trashcan is 2 feet wide and 3 feet long and has a height of 4 feet. What is the volume? 

• Medium trash bags

• 24 ft³

• 9 ft³

• 20 ft³

If the volume of the cereal box is 108 in³, how would the volume change if you changed the width from 2 to 4 inches?

• The volume increases by one half.

• The volume doubles.

• The volume triples.

• The volume quadruples.

Calculate the Volume

• 410 cm3

• 420 cm3

• 402 cm3

• 401 cm3

Ben wants to know how much his rectangular wooden crate will hold. What is the volume of the crate if the crate has a length of 18 inches, a width of 18 inches, and a height of 28 inches?

• 9,072 in²

• 9,072 in³

• 64 in³

• 64 in²

What is the volume of this rectangular prism?

• 100 in³

• 15 in³

• 120 in³

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 length of a rectangular prism changes from 6 feet to 18 feet.  What is the scale factor of the change?

• 1/3

• 3

• 2

• .3

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

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