Question

3. Arthur's storage bin is 18 ft by 14 ft by 9 ft. He has an enormous collection of shoes, each pair still wrapped in its original box, and he wants to store as many of them as he can. If each shoebox is 2 ft by 0.5 ft by 1.5 ft, how many can he fit in his storage bin?

Answer 1

At first find from the dimensions how many can fit for the storage pin

Since the dimensions of the storage bin are

L = 18 ft

W = 14 ft

H = 9 ft

Since the dimensions of the shoe original box are

l = 2 feet

w = 0.5 ft

h = 1.5 ft

Divide every 2 dimensions to find how many boxes can fit

$\begin{gathered} \because\frac{18}{2}=9 \\ \because\frac{14}{0.5}=28 \\ \because\frac{9}{1.5}=6 \end{gathered}$

Then the number of boxes is

$\begin{gathered} N=9\times28\times6 \\ N=1512 \end{gathered}$

He can fit 1512 boxes of shoe in his storage