Scale Factor and Changing Dimensions

You can find scale factor by using which formula?

• old measure/new measure
• length/volume
• volume/length
• new measure/old measure

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

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

CCSS.7.RP.A.2

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

CCSS.7.RP.A.2

CCSS.7.RP.A.3

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.EE.B.3

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

CCSS.7.RP.A.2

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

Tags

CCSS.7.EE.B.3

CCSS.7.G.B.6

CCSS.7.NS.A.2

CCSS.7.RP.A.2

CCSS.7.RP.A.3

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