Three cubes each of volume 64 cm3 are joined end to end to form a cuboid. Find the total surface area of the cuboid so formed?


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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 cm2