Question

A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is: select one:

Answer 1

Let, the hight of the hall be, H m.

Length of hall, L=15 m

Breadth of hall, B=12 m

Sum of area of floor and ceiling

=L*B+L*B

=2(L*B)

= 2*(15*12) sq.m

=360 sq.m

Sum of area of four walls

=L*H+L*H+H*B+H*B

=2(L*H+H*B)

=2H(L+B)

=2H(15+12) sq.m

=2*27*H

=54H

Given, 54H=360

So, H=20/3

So, The volume of the hall will be,

V=L*H*B

=15*12*(20/3) cubic metre

=1200 cubic metre

Answer 2

class 10 CBSE question