Volume of a Rectangular Prism and Rectangular Pyramid

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to list the dimensions of a rectangular prism and rectangular pyramid so that both shapes have equal volumes.

NOTE: Images are not drawn to scale.

Hint

What is the relationship between the volume formulas for a rectangular prism and a rectangular pyramid?

Answer

The rectangular pyramid could have a base with side lengths of 1, 8, and a height of 9. The rectangular prism could have side lengths of 2, 4, and 3. The volume of both 3-d shapes would be 24 cubic units.

Source: Aaron Arispe

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