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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 cm2
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 cm2
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Data Interpretation (Entrance Exam)
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