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

Answer:

The answer is 4 cubes.

Step-by-step 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 $s\times s\times s=64$

$\sqrt[3]{64}$

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 $\frac{4 inches}{1 inch}=4$ cubes.

Therefore, the answer is 4 cubes.

Answer 2

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