1.

The dimensions of a room are` 12 m xx 7m xx 5m.` Find the diagonal of the room. (b) the cost of flooring at the rate of Rs. 2 per `m^(2)`. (c ) the cost of whitewashing the room excluding the floor at the rate of Rs. 3 per `m^(2)`.

Answer» (a) The diagonal of the rooom `=sqrt(l^(2)+b^(2)+h^(2))=sqrt(12^(2)+7^(2)+5^(2))=sqrt(144+49+25)=sqrt(218) m`.
(b) To find the cost of the flooring, we should know the area of the base.
Base area`=lb =12xx7=84m^(2)`
` :. " The cost of flooring"=84xx2=Rs. 168.`
(c ) The total area that is to be whitewashed
`=LSA +"Area of roof"=2(l+b)h+lb`
`=2(12+7)5+12xx7=2(19)(5)+84`
`=190+84`
` =274 m^(2)`
` :. " The cost of whitewashing "=274xx3=Rs. 822.`


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