SA-Volume of Similar Figures

Each pair of figures is similar. Use the information given to find the scale factor of the figure on the left to the figure on the right.

• 9 : 25

• 3 : 5

• 1 : 10

• 27 : 125

Each pair of figures is similar. Use the information given to find the scale factor of the figure on the left to the figure on the right.

• 9 : 25

• 3 : 5

• 1 : 10

• 27 : 125

Each pair of figures is similar. Use the information given to find the scale factor of the figure on the left to the figure on the right.

• 1 : 10

• 40 : 1

• 4 : 25

• 2 : 5

Tags

CCSS.7.G.B.6

Two similar cones have a scale factor of 8/27. What is the ratio of their volumes?

• 2/3

• 64/729

• 512/19683

• 8/27

What is the scale factor of the side lengths of the figure on the left to the figure on the right.

• 3/1

• 3240/120

• 27/1

• 9/1

Two spheres have a scale factor ratio of 1:3.  The smaller sphere has a surface area of 16 ft²_.  Find 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

The volume of a prism is 1000 cubic centimeters. A similar prism has a volume of 27 cubic centimeters. What is the ratio of their surface areas?

• 100:9

• 10:3

• 500:13.5

• 100:2.7

Tags

CCSS.7.G.B.6

The ratio of the volume of two spheres is 8:27. What is the ratio of their radii?

• 2:3

• 4:9

• 3:4

• 64:729

If all the edges of a prism are multiplied by 5, then the volume of the prism will be multiplied by ___.

• 5
• 25
• 50
• 125

Tags

CCSS.7.G.B.6

Suppose the dimensions of a triangle with a perimeter of 18 units are doubled. Find the perimeter of the new triangle.

• 18
• 36
• 72
• 288

Tags

CCSS.7.G.A.1