Question

If A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4. How many 1/4 unit cubes does it take to fill the prism?

Answer 1

It'll take 128 cubes to fill the prism.

Explanation:

In order to solve this question we first need to find the volume of the cubes. The volume of a cube is given by the following formula:

volume = length³

So the cubes have the following volume:

volume = (1/4)³ = 1/64

Since we want to know how many of these cubes are needed to fill the prism, we need to divide prism's volume by the volume of the smaller cubes. We have:

number of cubes = (volume of prism)/(volume of cubes)

number of cubes = 2/(1/64)

number of cubes = 2*(64/1)

number of cubes = 128

It'll take 128 cubes to fill the prism.