Mathematics

Two cubes, each with 12 cm edge, are joined end to end. Find the surface area of the resulting cuboid.

Mensuration

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Answer

From figure,

Two cubes, each with 12 cm edge, are joined end to end. Find the surface area of the resulting cuboid. Mensuration, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

length of cuboid = 12 + 12 = 24 cm

breadth of cuboid = 12 cm

height of cuboid = 12 cm

By formula,

Total surface area of cuboid = 2(lb + bh + hl)

= 2(24 × 12 + 12 × 12 + 12 × 24)

= 2(288 + 144 + 288)

= 2 × 720

= 1440 cm2.

Hence, surface area of resulting cuboid = 1440 cm2.

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