Question

A right rectangular prism's edge lengths are 10.5 inches, 5 inches, and 2 inches. How many unit cubes with edge lengths of .5 inches can fit inside the prism?

Answer 1

840 cubes

Explanation:

First we need to find the volume of each one:

Rectangular prism: Volume = 10.5 * 5 * 2 = 105 in3

Cube: Volume = 0.5 * 0.5 * 0.5 = 0.125 in3

Now, to find how many cubes can fit inside the prism, we just need to divide the volume of the prism by the volume of the cube:

Number of cubes = 105 / 0.125 = 840 cubes