The Question : Three cubes each of volume 64cm3 are joined end to end to form a cuboid. Find the total surface area of the cuboid so formed?
Solution for the question :
Let l be the side of the cube and L, B, H be the dimensions of the cuboid Since l3 = 64 cm3 ∴ l = 4 cm Total surface area of cuboid is 2[LB + BH + HL], Where L = 12, B = 4 and H = 4 = 2 (12 × 4 + 4 × 4 + 4 × 12) cm2 = 224 cm2Therfore, total surface area of cuboid is 224 cm2
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