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Question
In redesigning a cold storage, the length is increased by 30% , the breadth is increased by 50% and the height is reduced by 20% . what is the net increase in the volume of the redesigned cold storage compared to the previous design?
50%
56%
60%
40%
None of them
ANSWER : 2
Descrption
<p>Let, length, width and height of the cold storage are respectively l, w and h.</p> <p>so, volume = lwh</p> <p>New length = l + 30/100 l = 1.3 l</p> <p>New width = w + 50/100 w = 1.5 w</p> <p>New height = h - 20/100 h = 0.8 h</p> <p>so, new volume = 1.3 l * 1.5w * 0.8 h = 1.56 lwh</p> <p>increase in volume = (1.56 - 1)lwh = 0.56 lwh</p> <p>percentage increase in volume = 0.56 * 100% = 56%.</p>
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