Geometry Volume and Scale Factor

If you change the width of a rectangular prism by a scale factor of 1/4, how will the volume be affected.

• It will be cut in half.

• It will double

• It will be multiplied by 4.

• It will be divided by 4.

Tags

CCSS.7.G.B.6

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

Tags

CCSS.7.G.A.1

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

Tags

CCSS.7.G.B.6

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

Tags

CCSS.7.G.B.6

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.

Tags

CCSS.7.G.B.6

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

Tags

CCSS.7.G.B.6

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

Tags

CCSS.7.G.B.6

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

Tags

CCSS.7.G.B.6

The width of a rectangular prism is 12 cm and the volume is 180 cubic cm. Both change by a scale factor of 1/3. What is the new width and the new volume?

• 36 cm and 540 cubic cm

• 4 cm and 60 cubic cm

• 3 cm and 45 cubic cm

• 1 square cm and 15 cubic cm

Tags

CCSS.7.G.B.6

A rectangular prism has the following dimensions:  length 6m, width 2m, and height 12m.  Its volume is 144 cubic cm.  If the width changes to 6m, what is the new volume?

• 432 square cm
• 48 square cm
• 432 cubic cm
• 48 cubic cm

Tags

CCSS.7.G.B.6