Question

A godown measures $40m\times 25m\times 15m$. Find the maximum number of wooden crates each measuring $1.5m\times 1.25m\times 0.5m$ that can be stored in the godown.

Answer 1

We have to find the maximum number of wooden crates that can be stored in the godown.

Since godown and wooden crates, both are cuboidal in shape and we know that formula for the volume of a cuboid$=l\times b\times h$

So, the volume of the godown$=40\times 25\times 15=15000m^3$

The volume of the wooden crates$=1.5\times 1.25\times 0.5=0.9375m^3$

Let us assume that wooden crates can be stored in the godown$=n$

The volume of $n$wooden crates $=$Volume of godown

$0.9375\times n=15000$

$n=\frac{15000}{0.9375}=16000$

Hence, $16000$ crates can be stored in the godown.