Question

A rectangular prism has dimensions of 1 / 2, 2, and 7 / 2 in.

How many cubes with side lengths of 1 in. will fit into the prism? Explain.
How many cubes with side lengths of 1 / 2 in. will fit into the prism? Explain.

Answer 1

Hi there!

First, we need to determine the volume.

1/2 × 2 × 7/2 = 7/2 in cubed

3.5 cubes with sidelengths of 1in can fit in, since both units are three dimensional and 7/2 ÷ 1 = 3.5

7 cubes with sidelengths of 1/2 can fit because 7/2 ÷ 1/2 = 7

Hope this helps!