Similar Solids

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

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

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

Tags

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

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.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

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.HSG.GMD.A.3

CCSS.HSG.SRT.A.2

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

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.2

CCSS.HSG.GMD.A.3

Are the two figures similar?
(If yes, what is the similarity ratio?)

• Yes; 3
• Yes; 3/10
• Yes; 3/5
• No

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Are the two figures similar?
(If yes, what is the similarity ratio?)

• Yes; 5
• Yes; 9:6
• Yes; 1/3
• No

Tags

CCSS.HSG.SRT.A.2

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.HSG.GMD.A.3

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.HSG.SRT.A.1

The height (but not the base) of a triangle is doubled. Describe the effect on the area.

• The area is doubled

• The area is quadrupled

• The area is halved

Tags

CCSS.HSG.GMD.A.1