A godown measures 40 m × 25 m × 10 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
The dimensions of godown are length (l1) as 40 m, breadth (b1) as 25 m, height (h1) as 10 m, while the wooden crate has the dimensions:
length (l2) as 1.5 m, breadth (b2) as 1.25 m, and height (h2) as 0.5 m respectively
Therefore,
Volume of godown = l1 × b1 × h1
= (40m × 25m × 10m)
= 10000 m3
Volume of 1 wooden crate = l2 × b2 × h2
= (1.5 m × 1.25m × 0.5m)
= 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 = 10000
n =
= 10666.66
∴ The maximum number of wooden crates will be 10666.