Mathematics
A cube of a metal of 6 cm edge is melted and cast into a cuboid whose base is 9 cm × 8 cm. Find the height of the cuboid.
Mensuration
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Answer
Side of a cube = 6 cm
Volume of cube = (side)3 = 63 = 216 cm3.
Since, the same metal is melted and casted into cuboid so,
Volume of cuboid = Volume of cube.
By formula,
Volume of cuboid = l × b × h
Substituting values we get,
⇒ 216 = 9 × 8 × h
⇒ h = = 3.
Hence, height of cuboid = 3 cm.
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