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Question
A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The side of the cube is ______.
Options
6 cm
8 cm
12 cm
24 cm
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Solution
A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The side of the cube is 6 cm.
Explanation:
Given, a metal sheet 27 cm long, 8 cm broad and 1 cm thick.
Then, volume of the sheet (cuboidal) = l × b × h
= 27 × 8 × 1
= 216 cm3
Now, since this sheet is melted to form a cube of edge length a (say).
Then, volume of the cube = Volume of the metal sheet
⇒ a3 = 216 cm3
⇒ a = 6 cm
Hence, the side of the cube is 6 cm.
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