Question

A cube-shaped box has a volume of 64 cubic inches. If the box is packed full of cubes with edge lengths of 1 inch, how many cubes can fit along one side of the box?

A) 2 cubes
B) 4 cubes
C) 8 cubes

Answer 1

B)
-cube root of 64 to find the length of the cube shaped box
-length of cube shaped box is 4 inches
-So 4 divided by 1 to find how many cubes can fit

Answer 2

The answer is 4 cubes.

Explanation:

A cube-shaped box has a volume of 64 cubic inches.

As it is a cube, the volume is given as : length x width x height.

And as it is a cube, all the sides are equal.

So, lets say the side is 's'.

We have
`s* s* s=64`

`\sqrt[3]{64}`

Hence, we get s = 4 inches.

As given: If the box is packed full of cubes with edge lengths of 1 inch, that means each side will fit
`(4 inches)/(1 inch)=4` cubes.

Therefore, the answer is 4 cubes.