Question

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

Answer 1

The godown has its length (l₁) as 40 m, breadth (b₁) as 25 m, height (h₁) as 15 m, while the wooden crate has its length (l₂) as 1.5 m, breadth (b₂) as 1.25 m, and height (h₂) as 0.5 m.

Therefore, volume of godown = l₁ × b₁ × h₁

= (40 × 25 × 15) m³

= 15000 m³

Volume of 1 wooden crate = l₂ × b₂ × h₂

= (1.5 × 1.25 × 0.5) m³

= 0.9375 m³

Let n wooden crates can be stored in the godown.

Therefore, volume of n wooden crates = Volume of godown

0.9375 × n = 15000

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

Therefore, 16,000 wooden crates can be stored in the godown.