Hall Volume | MCQs

Explanation

Square = 4 sides are equal

Rectangle = only 2 opposite sides are equal

In the case of 3-dimension,

If the hall is in Cube shape, the area of all 4 walls will be equal.

But, here we know that the hall is in a Rectangular Prism shape, so only the area of 2 opposite walls will be equal.

Area of two walls = 15*b + 15*b = 30b

Area of other two walls = 12*b + 12*b = 24b

Hence,

Their Sum = 30b + 24b = 54b

360 = 54b which means b = 360/54 = 20/3

Here, the breadth of the walls is equal to the height of the rectangular prism (Hall)

Hence,

Volume of Hall = l*b*h = 15*12*(20/3) = 1200 cu.m

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ND10-12-2022