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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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