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Q.

A box made of sheet metal costs Rs 1620 at Rs 30 per square metre. If the box is 5 m long and 3 m wide, then its height is ____.


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Detailed Solution

A box made of sheet metal costs Rs 1620 at Rs 30 per square metre. If the box is 5 m long and 3 m wide, then its height is 1.5 m.
Given, a box made of sheet metal costs Rs 1620 at Rs 30 per square metre.
The surface area of the box = cost of the sheet ÷ cost per sq.m.
The surface area of the box = 162030=54 sq.m.
We know that the surface area of the cuboid is 2(lb+bh+lh)=54.
(3)(5)+3h+5h=27
8h = 12
h=128=1.5 m
So, the height is 1.5m.
Hence, the correct answer is 1.5 m.
 
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