The areas of three adjacent faces of a cuboid are 18 cm², 20 cm² and 40 cm². What is the volume(in cm³) of the cuboid?

120

We know that, If the areas of the adjacent fades are given, then,

Volume of cuboid = \(\sqrt {(lb × bh × hl)  }\)

Area of face of cuboid lb = 18 cm²

Area of face of cuboid bh = 20 cm²

Area of face of cuboid hl = 40 cm²

Volume of cuboid = \(\sqrt {(18 × 20 × 40)  }\) = \(\sqrt {(14400)  }\) = 120 cm³