Question

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Two cubes each of volume 27 cm3 are joined end to end to form a solid. Find the surface area of the resulting cuboid. ​

Answer 1

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Two cubes each of volume 27 cm³ are joined end to end to form a solid. Find the surface area of the resulting cuboid.

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Volume of a cube = 27 cm³

⇒ (Side)³ = (3)³ ∴ Side = 3 cm

Length of resulting cuboid, l = 2 × 3 = 6 cm

Breadth of resulting cuboid, b = 3 cm

Height of resulting cuboid, h = 3 cm

Surface area of resulting cuboid = 2(lb + bh + hl)

= 2(6 × 3 + 3 × 3 + 3 × 6)

= 2(18 + 9 + 18) = 2(45) = 90 cm²

Answer 2

Answer

Volume of one cube, v=27 cm ^3

Therefore, side of a cube s=v 1/3 =27

1/3 =3 cm

Two cubes of the same volume joined together to form a cuboid.

Therefore, the length of cuboid, L=2s=6 cm

Width of cuboid (B) = Height of cuboid (H) =s=3 cm

Surface Area of cuboid,

S.A=2(LB+BH+LH)=2(6×3+3×3+6×3)=2(18+9+18)=90 cm^2

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