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If the Areas of Three Adjacent Faces of a Cuboid Are X, Y and Z, Respectively, the Volume of the Cuboid is - Mathematics

MCQ

If the areas of three adjacent faces of a cuboid are x, y and z, respectively, the volume of the cuboid is

Options

  • xyz

  •  2xyz

  • `sqrt("xyz")`

  • `root(3)("xyz")`

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Solution

`sqrt("xyz")`

Let the length of the cuboid = l

breadth of the cuboid = b

and height of the cuboid = h

Since, the areas of the three adjacent faces are x, 

and z, we have:

lb = x

bh = y 

lh = z

Therefore,

lb × bh × lh = xyz

⇒ l2 b2 h= xyz 

`⇒ "lbh" = sqrt(xyx)`

Hence, the volume of the cuboid`="lbh" = sqrt(xyz)`

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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Multiple Choice Questions | Q 41 | Page 922
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