A metal sheet 27cm long , 8 cm broad, and 1 cm thick is melted into a cube. The difference between the surface area of the two solids is:
A. 280 sq cm
B. 272 sq cm
C. 286 sq cm
D. 290 sq cm
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2(lb*bh*hl)-side * side (area of suare)
502 -216=286 ans.
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.