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Question
A cuboid with dimensions 12 cm × 9 cm × 2 cm is made of a metal. It is melted and recast into a solid cube. The edge of the cube is ______.
Options
6 cm
12 cm
15 cm
8 cm
MCQ
Fill in the Blanks
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Solution
A cuboid with dimensions 12 cm × 9 cm × 2 cm is made of a metal. It is melted and recast into a solid cube. The edge of the cube is 6 cm.
Explanation:
The volume of the cuboid is 12 cm × 9 cm × 2 cm = 216 cm. Since it is recast into a solid cube, the volume of the cube is also 216 cm3. The edge of the cube is \[\sqrt[3]{216} = 6\text{ cm}\].
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