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?

• 6 units

• 7 units

• 8 units

• 9 units

• 10 units

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

• None of the above

What fraction of the cube is taken up by the sphere? What percentage is this?

• 50%

• 60%

• 40%

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

• Sphere A: 32 cm³, Sphere B: 256 cm³

• None of the above

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

• 2 times

• 4 times

• 8 times

• 16 times

• None of the above

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?

• 3 months

• 4 months

• 5 months

• 6 months

• 7 months

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

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

• No

• Yes, in the 20th month

• Yes, in the 30th and 31st months

• Yes, in the 18th to 20th months

Describe what happened to the average price of gas in 2014.

Match the description of each sphere to its correct volume. A: Sphere A: radius of 4 cm B: Sphere B: diameter of 6 cm C: Sphere C: radius of 8 cm D: Sphere D: radius of 6 cm