Similarity with Area and Volume

For each of the following similar shapes, find the unknown length or area:

• 17

• 18

• 19

• 20

For each of the following similar shapes, find the unknown length or area:

• 5

• 6

• 7

• 8

• 40.34

• 40.5

• 40.6

• 40.15

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The surface area of the larger prism is 2560 m².  Find the surface area of the smaller prism.

• 921.6 m²

• 1536 m²

• 553 m²

• 7111.1 m²

Tags

CCSS.7.G.B.6

Two cones are similar.  One cone has a radius of 12 inches, while the larger cone has a radius of 20 inches.  The volume of the larger cone is 20,000 cubic inches.  What is the volume of the small cone?

• 12,000 cubic inches

• 8000 cubic inches

• 7200 cubic inches

• 4320 cubic inches

If you multiply each dimension by 6, then what is the effect on the surface area?

• The surface area is multiplied by 36.

• The surface area stays the same.

• The surface area is multiplied by 6

• The surface area is multiplied by 216.

Tags

CCSS.7.G.B.6

What is the ratio of the volumes from larger to smaller. (HINT* Find the ratio of the side lengths first)

• 5/4

• 125/64

• 25/16

• 10/8

Two spheres have a similarity ratio of 1:3.  The smaller sphere has a surface area of 16 ft²_.  What is the surface area of the larger sphere.

• 48 ft²

• 144 ft²

• 432 ft²

• 32 ft²

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Calculate the composite surface area of the square pyramid on top of the square prism.

• 8160 cm²

• 2400 cm²

• 3456 cm²

• 2304 cm²

To the nearest whole number, what is the volume of a sphere with a diameter of 8 cm?

• 268 cm³

• 67 cm³

• 2,145 cm³

• 34 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3