Question

28) A cube and a cuboid have the same volume. The dimensions of the cuboids are in the ratio 1:2:4. If the difference between the cost of painting trecuboids and cube (whole surface area) at the rate of Rs. 5/- sq.m is Rs. 80. Find their volumes
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Answer 1

Answer:

given dimensions of cuboid=1:2:4

total surface area =total cost/ cost per sq.m

=80/5=16m^2

let these dimensions be 1x:2x:4x

total surface area of cuboid=2(l+b+h)

16=2(x+2x+4x)

8=7x

8/7=x

So, length =8/7

breadth=