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Question
A solid piece of metal, cuboidal in shape, with dimensions 24 cm, 18 cm and 4 cm is recast into a cube. The side of cube is ______.
Options
6 cm
8 cm
12 cm
16 cm
MCQ
Fill in the Blanks
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Solution
A solid piece of metal, cuboidal in shape, with dimensions 24 cm, 18 cm and 4 cm is recast into a cube. The side of cube is 12 cm.
Explanation:
Volume of the cuboid
= 24 × 18 × 4
= 1728 cm3
If recast as a cube,
a3 = 1728
So, a = `root(3)(1728)`
= 12 cm
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