The volume of a cuboid with length 25, cm and | vedclass

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(A) The volume of a cube with edge $a = 15\, cm$ is given by $V_{cube} = a^3 = 15^3 = 3375\, cm^3$.The volume of a cuboid is given by $V_{cuboid} =

Vedclass · Accepted Answer

$9$

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(A) The volume of a cube with edge $a = 15\, cm$ is given by $V_{cube} = a^3 = 15^3 = 3375\, cm^3$.The volume of a cuboid is given by $V_{cuboid} = 	ext{length} 	imes 	ext{breadth} 	imes 	ext{height} = l 	imes b 	imes h$.Given $l = 25\, cm$ and $b = 15\, cm$,and $V_{cuboid} = V_{cube}$,we have:$25 	imes 15 	imes h = 3375$$375 	imes h = 3375$$h = \frac{3375}{375} = 9\, cm$.Thus,the height of the cuboid is $9\, cm$.

The volume of a cuboid with length $25\, cm$ and breadth $15\, cm$ is equal to the volume of a cube with edge $15\, cm$. Find the height of the cuboid (in $cm$).

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