Pre-Algebra Practice Questions: Finding the Volume of Pyramids and Cones

By Mark Zegarelli

The formula for the volume of a pyramid is the same as for the volume of a cone. In this formula, Ab is the area of the base, and h is the height:

PREALGEBRA_3501

Practice questions

  1. Find the volume of a pyramid with a square base whose side is 10 inches and with a height of 6 inches.
  2. Find the approximate volume of a cone whose base has a radius of 3 inches and whose height is 8 inches.

Answers and explanations

  1. 200 cubic inches

    First, find the area of the base using the formula for the area of a square:

    Ab = s2 = (10 in.)2 = 100 in.2

    Now plug this result into the formula for the volume of a pyramid:

    PREALGEBRA_3502

  2. Approximately 75.36 cubic inches

    Use the area formula for a circle to find the area of the base:

    PREALGEBRA_3503

    Plug this result into the formula for the volume of a cone:

    PREALGEBRA_3504

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