Mathematics
2 cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid.
Mensuration
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Answer
By formula,
⇒ Volume of cube = (side)3
⇒ 64 cm3 = (side)3
⇒ (side)3 = 43
⇒ side = 4 cm.
From figure,
On joining two cubes, length of cuboid = 8 cm, height = 4 cm and breadth = 4 cm.
By formula,
Surface area of cuboid = 2(lb + bh + lh)
Substituting values we get :
Surface area of cuboid = 2(8 × 4 + 4 × 4 + 8 × 4)
= 2(32 + 16 + 32)
= 2 × 80
= 160 cm2.
Hence, surface area of cuboid = 160 cm2.
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