Similar Solids & Surface Area

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 surface area of a rectangular prism is 166 square feet. A similar prism has a surface area of 1494 square feet. If the length of the smaller prism is 5 feet, what is the length of the larger prism?

• 10

• 15

• 45

• 50

Tags

CCSS.7.G.B.6

Two similar cylinders have surface areas of 40π ft² and 90π ft². What is the ratio of the height of the large cylinder to the height of the small cylinder?

• 4/9

• 2/3

• 8/27

• 16/81

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

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

What is the ratio of the surface areas from large to small. 

• 49/16
• 7/4
• 42/24
• 10/8

Tags

CCSS.7.G.B.6

If two figures are similar, their surface area ratio is ...?

• the same

• squared

• cubed

• twice as much

Find the surface area of the larger solid.

Enter a number only.

Tags

CCSS.7.G.B.6

What is the surface area of the larger solid?

• 50 ft²

• 45 ft²

• 81 ft²

• 225 ft²

Tags

CCSS.7.G.B.6

If the side lengths are tripled, then which of the following statements about its surface area will be true?

• The new surface area will be 3 times larger

• The new surface area will be 9 times larger

• The new surface area will be 10 times larger

• The new surface area will be 27 times larger

Tags

CCSS.6.G.A.4