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If the Area of Three Adjacent Faces of a Cuboid Are 8 `Cm^2`, 18 `Cm^3` and 25 `Cm^3`. Find the Volume of the Cuboid. - Mathematics

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प्रश्न

If the area of three adjacent faces of a cuboid are 8 `cm^2`, 18 `cm^3` and 25 `cm^3`. Find the
volume of the cuboid.

उत्तर

WKT, if ,,x y z denote the areas of three adjacent faces of a cuboid
`⇒x=lxxb,y=bxxh,z=lxxh.`
Volume V is given by

`v=lxxbxxh`

`Now, xyz=lxxbxxbxxhxxlxxh=V^2`

`Here     x=8`

`y=18`

`And   z=25`

`∴ v^2 = 8xx18xx25=3600`

`⇒ v= 60cm^3`

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पाठ 18: Surface Areas and Volume of a Cuboid and Cube - Exercise 18.2 [पृष्ठ २९]

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आरडी शर्मा Mathematics [English] Class 9
पाठ 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.2 | Q 4 | पृष्ठ २९

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