The areas of three adjacent faces of a solid cuboid are 127 $$cm^2$$​ , 32 $$cm^2$$​ and 254 $$cm^2$$​ . What is the volume (in cm3) of thecuboid?

Correct option is D

Given:

Area of three adjacent faces of the cuboid:

A1 = 127 cm²

A2 = 32 cm²

A3 = 254 cm²

Formula Used:

Volume of cuboid V = l × b × h

Area of adjacent faces = l × b, b × h, l × h

Where, l, b, and h are length, breadth and height

Solution:

Multiplying the three areas of the faces:

(l × b)×(b × h)×(l × h) = 127 × 32 × 254

(l × b× h)² = 127 × 32 × 254

(l × b× h)² = 1032256

(l × b× h) = $$\sqrt{1032256}$$​ = 1016cm³

Thus, the volume of the cuboid is 1016 cm³.