Question

A cubic crate with an edge length of 16 feet will be used to contain cubic wooden boxes. Each wooden box has an edge length of 4 feet. How many wooden boxes can the crate contain?

Answer 1

The side length of the cubic crate = 16 feet

The cubic crate will contain cubic wooden boxes, each box of side length = 4 feet

We have to determine the number of boxes which can be contained in a crate.

Since, Volume of a cube with side 'a'  is given by = $a^3$.

Number of cubic wooden boxes = Volume of cubic crate $\div$ Volume of a cubic wooden box

So, volume of cubic crate = $(side)^3$ =  $(16)^3$ = 4096

Volume of each cubic wooden box=  $(side)^3$ =  $(4)^3$ = 64

So, number of cubic wooden box contained in a crate = $\frac{4096}{64}$ = 64

Therefore, 64 cubic wooden boxes are contained in a crate.