3-D Figures Review(similarity & formulas)

What is the surface area of this figure?

• 200 cm ²

• 800 cm ²

• 400 cm ²

• 100 cm ²

Tags

CCSS.7.G.B.6

Find the volume of this sphere.

• 150.72 mm³

• 904.32 mm³

• 2,712.96 mm³

• 452.16 mm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Cylinder A has a height of 8 inches. Cylinder B has a height of 12 inches. What is the ratio of their surface areas in simplest form?

• 8:12

• 2:3

• 4:9

• 8:27

The ratio of the volumes of two spheres is 64:27. What is the ratio of the length of the radii of these two spheres?

• 4:3

• 64:9

• 8:5

• 3:4

A ball has a volume of 904.32 in³. Another similar ball has half the radius of the first. What is its volume?

• 452.16 in³

• 226.08 in³

• 113.04 in³

• 1808.64 in³

If all dimensions of a cone are multiplied by 5, then the volume of the cone is multiplied by..

• 5

• 25

• 125

• 10

Two similar prisms have areas of 112 cm squared and 252 cm squared. What is the ratio of their volumes?

Small: large

​ (a)   : ​ (b)  

• 8
• 27
• 4
• 9
• 64
• 729

Farmer Fred has a silo that looks like the one in the picture. The cylinder part is 20 feet tall with a radius of 6 feet. What is the volume of the entire silo? Round to the nearest whole number.

• 3167 ft³

• 2337 ft³

• 2413 ft³

• 2714 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Two similar rectangular prisms have a surface area of 240 square meters and 735 square meters. If the volume of the larger prism is 10290 cubic meters, what is the volume of the smaller prism?

Mathematical Equivalence

ON

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