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Three cubes each having volume 1728 cm3 are placed one above the other. What is the total surface area of the resulting solid? -

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Question

Three cubes each having volume 1728 cm3 are placed one above the other. What is the total surface area of the resulting solid?

Options

  • 2160 cm2

  • 2304 cm2

  • 2592 cm2

  • 2016 cm2

MCQ

Solution

2016 cm

Explanation:

Volume of the cube = (side)3 = 1728 cm3

∴ Side of cube = `root(3)(1728)` = 12 cm

When three such cubes are place one above the other, they will form a cuboid.

Length of cuboid (L) = Breadth of cuboid (B) = 12 cm

Height of cuboid (H) = 36 cm

∴ Total surface area of cuboid = 2(LB + BH + HL)

= 2(12 × 12 + 12 × 36 + 36 × 12)

= 12(144 + 432 + 432)

= 2 × 1008

= 2016 cm

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Data Interpretation (Entrance Exam)
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