Question

A rectangular prism is packed with cubes that measure 1/4 inch on each side. What is the volume, in cubic inches, of the rectangular prism?

Answer 1

V = n X V(cube)

Explanation:

Given:

Side of the cube,a = $\frac{1}{4}$

Volume of the cube = a³

So, the volume of the cube, V is

V(cube) = $(\frac{1}{4})^3$

V(cube) = $\frac{1}{64}$

Let the number of cubes be n

Let V be the volume of the rectangular prism

Volume of rectangular prism = number of cubes X volume of cubes

V = n X V(cube)

If the number of cubes are known then substitute the value in the above given formula.