The number of one-inch cubes that will fit into a box that is 6 inches wide and one inch tall is 54. how long is the box?

Question

asked Jan 5, 2018 172k views

2 Answers

Cyberherbalist · Answer 1 · 2018-01-09T19:07:37+0000

Answer:

9 inches long is the box.

Explanation:

Volume of a cube is given by:

$\text{Volume of a cube} = s^3$ where, s is the side of the cube

Volume of a box(V) is given by:

V = lwh .....[1]

where

l is the length , w is the width and h is the height of the box respectively.

As per the statement:

The number of one-inch cubes that will fit into a box that is 6 inches wide and one inch tall is 54.

Volume of one box =
in.

then;

Volume of 54 box = 54 inches.

It is also given:

w = 6 inches and h = 1 inch

Substitute in [1] we have;

$54 = l \cdot 6 \cdot 1$

⇒
54 =6l

Divide both sides by 6 we get;

9 = l

or

l = 9 in.

therefore, 9 inches long is the box.