Question 7
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 godown has its length (l1) as 40 m, breadth (b1) as 25 m, height (h1) as 10 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=(40×25×10)m3
=10000 m3
Volume of 1 wooden crate =l2×b2×h2=(1.5×1.25×0.5)m3
=0.9375 m3
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×n=10000
n=100000.9375=10666.66
Therefore, 10666 wooden crates can be stored in the godown.