A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. Each side of the cube will be
4 cm
8 cm
6 cm
None of these
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Answer:
We know that,
Total surface area of cuboid = 2 (lb + bh + hl)
Surface area of given cuboid
= 2(27 × 8+8 × 1+27 × 1) = 502 cm2
Volume of cube = 27 × 8×1 = 216cm3
∴ Edge of the cube a = 3216 = 6 cm
We know that,
Total surface area of cube = 6a2
Surface area of this cube = 6×(6)2 = 216 cm2
Hence, the difference of surface areas = 502−216=286 cm2
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