a cube and cuboid have same volume. dimentions of cuboid are in the ratio 1:2:4. if the difference betwween the cost of polishingthe cube and the cuboid is at the rate of rs5 /m2 is rs 80, find the volumes
Let the dimensions of the cuboid be x,2x and 4x.
Volume of cuboid=volume of cube
Cost of polishing the cuboid at rs.5/m2=T.S.A. of cuboid*5
Cost of polishing the cube at rs.5/m2=T.S.A. of cube*5
or 20x2=80 or x=2m
Therefore Volume of cuboid= Volume of cube= x*2x*4x=2*4*8=64m3