Question

If A1 ,A2,A3 are the areas of adjacent faces of cuboid then volume is?

Answer 1

the volume will be √A1*A2*A3
√a*b*b*c*c*a
√a²b²c²
abc
which is volume so the volume is √A1*A2*A3

Answer 2

Answer:

Volume of cuboid  = √(A1 × A2 × A3)

Step-by-step explanation:

Let length of cuboid = l

Let width of cuboid = w

Let height of cuboid = h

So area A1 = l × w

    area A2 = w × h

    area A3 = h × l

A1 × A2 × A3 =  l × w × w × h × h × l

                      = (l × w × h)²

So (l × w × h) = √(A1 × A2 × A3)

∵Volume of cuboid = length × height × width

                                = (l × w × h)

Volume of cuboid  = √(A1 × A2 × A3)