Volume of a Frustum of Pyramids & Cones


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question 1 of 3

The equation for the volume of a cone is _____.

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1. The frustum of a cone has a height of 2 inches, a bottom area of 8 square inches and a top area of 2 square inches. What is the volume?

2. A frustum of a pyramid has a base area of 16 square feet, a top area of 4 square feet and a height of 3 feet. What is the volume?

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About This Quiz & Worksheet

In this quiz and worksheet, you will review how to calculate the volume of conical and pyramidal frustums. Questions will ask you for the equation of the volume of a cone along with several practice problems to calculate the volume.

Quiz & Worksheet Goals

You will be able to see the topics below in the questions for this quiz:

  • The equation for the volume of a cone
  • Finding the volume of a conal frustum
  • Finding the volume of a pyramidal frustum

Skills Practiced

  • Information recall - remember what you have learned about finding the volume of a pyramid
  • Defining key concepts - ensure that you can provide the formula for finding the volume of a cone
  • Problem solving - use what you know to solve practice problems involving the volume of a conal frustum

Additional Learning

To practice more with these objects, click on the lesson titled Volume of a Frustum of Pyramids & Cones. Inside, you can work with the additional topics mentioned below:

  • Extending equations
  • The definition of a frustum
  • Similar triangles