Open Middle®
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
