Question

A right rectangular prism's edge lengths are 14 inches, 6 inches, and 3 1/3 inches. How many unit cubes with edge lengths of 2/5 inch can fit inside the prism?

Answer 1

ANSWER

4375 unit cubes

EXPLANATION

The volume of a right rectangular prism is given by;

$V=lbh$

We substitute the given dimension to obtain,

$V=14 \times 6 \times \frac{10}{3} = 280i {n}^{3}$

The volume of the unit cube with edge lengths

$\frac{2}{5}$

is

$(\frac{2}{5})^{3} = \frac{8}{125} {in}^{3}$

To find the number of unit cubes that can fit inside the prism, we divide the volume of the rectangular prism by the volume of the unit cube.

$= \frac{280}{ \frac{8}{125} }$

$= 4375$