Grade 8 | Unit 5 | Lesson 20: The Volume of a Sphere | Practice Problems

A cube’s volume is 512 cubic units. What is the length of its edge?

• 8 units

• 10 units

• 12 units

• 14 units

• 16 units

If a sphere fits snugly inside a cube with a volume of 512 cubic units, what is its volume?

What fraction of the cube is taken up by the sphere? What percentage is this? Explain or show your reasoning.

Sphere A has radius 2 cm. Sphere B has radius 4 cm. Calculate the volume of each sphere.

The radius of Sphere B is double that of Sphere A. How many times greater is the volume of B?

• The volume of Sphere B is 8 times greater than the volume of Sphere A

• The volume of Sphere B is 4 times greater than the volume of Sphere A

• The volume of Sphere B is 2 times greater than the volume of Sphere A

• 144 cm

• 64 cm

• 36 cm

• 48 cm

• 96 cm

• 64 cm

• 144 cm

• 36 cm

• 48 cm

• 96 cm

• 36 cm

• 64 cm

• 144 cm

• 48 cm

• 96 cm

The graph represents the average price of regular gasoline in the United States in dollars as a function of the number of months after January 2014. How many months after January 2014 was the price of gas the greatest?

• 5 months

• 10 months

• 15 months

• 20 months

• 25 months

Did the average price of gas ever get below $2?

• Yes, in the 24th, 25th, and 26th months

• No, it never got below $2