Question

A metal sheet 27cm long, 8cm broad, 1cm thick is melted into a cube. Find the side of the cube

Answer 1

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Surface area of sheet=2(27*8+8*1+27*1)=502sqcm.

Vol of cube=(27*8*1)cucm. Therefore, side of cube(a)=cube root(vol)=6cm.

Surface area of cube=6*sidesquare=6*36=216sqcm.

Hence, difference=(502-216)=286sqcm.

Answer 2

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Surface area of sheet=2(27*8+8*1+27*1)=502sqcm.

Vol of cube=(27*8*1)cucm. Therefore, side of cube(a)=cube root(vol)=6cm.

Surface area of cube=6*sidesquare=6*36=216sqcm.

Hence, difference=(502-216)=286sqcm.