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A parallelopiped whose sides are in ratio 2 : 4 : 8 have the same volume as a cube. The ratio of their surface area is :
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Explanation:
Sides of parallelopiped are in ratio = 2 : 4 : 8
Let length = 2 units
breadth = 4 units
Height = 8 units
Let the side of cube = a unit
According to question
volume of cube = volume of parallelopiped
a^3=2×4×8
a^3=64
a=3√64=4units
Surface area of parallelopiped\Surface area of cube
=2(lb+bh+hl)\6a^2=2(8+32+16)\6(4)^2
=7\6=7:6