Question

The areas of three adjacent faces of a cuboidare 1m2, 4m2 and 9m2, then its volume is
(1) 36 m3
(2) 6 m3
(3) 216 m3
(4) Can not be determine​

Answer 1

Given,

The areas of three adjacent faces of a cuboidare 1m²,4m²,9m².

To find,

The volume of the cuboid.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Let, the length, breadth and height of the cuboid = x metres, y metres and z metres.

Area of base = xy m²

Area of two type of lateral faces are = xz m² and yz m²

Now,

xy × xz × yz = 1 × 4 × 9

x²y²z² = 36

(xyz)² = (6)²

xyz = 6

Now, the value of volume will be also xyz (length × breadth × height)

Hence, the volume of the cuboid is 6 m³.

Answer 2

Answer:

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