Question

A right rectangular prism's edge lengths are 9 inches, 9 inches, and 3 1/3 inches. How many unit cubes with edge lengths of 1/2 inch can fit inside the prism?

Answer 1

ANSWER

2160 cubes

EXPLANATION

The given rectangular prism has edge lengths,

9 inches,9inches and 3⅓ inches.

The volume of this rectangular prism is

$V = 9 \times 9 \times \frac{10}{3}$

$V = 3 \times 9 \times 10 = 270 {in}^{3}$

A cube with unit edges of length

$\frac{1}{8}$

has volume.

$v = {( \frac{1}{8}) }^{3} = \frac{1}{8}$

The number of unit cubes that can go into the prism is

$= \frac{270}{ \frac{1}{8} } = 2160$