Question

Question 7
A godown measures 40 m×25 m×10 m.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

The godown has its length $\left(l_1\right)$ as 40 m, breadth $\left(b_1\right)$ as 25 m, height $\left(h_1\right)$ as 10 m, while the wooden crate has its length $\left(l_2\right)$ as 1.5 m, breadth $\left(b_2\right)$ as 1.25 m and height $\left(h_2\right)as0.5m$.

Therefore, volume of godown $=l_1\times b_1\times h_1=(40\times 25\times 10)m^3$

$=10000m^3$

Volume of 1 wooden crate $=l_2\times b_2\times h_2=(1.5\times 1.25\times 0.5)m^3$

$=0.9375m^3$

Let n be the number of wooden crates can be stored in the godown.

Therefore, volume of n wooden crates = volume of the godown

$0.9375\times n=10000$

$n=\frac{10000}{0.9375}=10666.66$

Therefore, 10666 wooden crates can be stored in the godown.