The areas of three surfaces of a cuboid are 10 m², 18 m², and 20 m². What is the volume(in m³) of the cuboid.

Correct option is D

Given:

Areas of three surfaces of a cuboid = 10 m², 18 m², and 20 m^2​​

Formula Used: ​

Volume of cuboid = Length × Breadth × Height 

Solution: 

The area of the three faces of a cuboid can be represented as:

Area of the first face = Length × Breadth = 10 

Area of the second face = Breadth × Height  = 18 

Area of the third face = Length × Height  = 20 

Multiply the three equations: 

(Length × Breadth × Height)²  = 10 × 18 × 20 

(Length × Breadth × Height)² = 3600 

Length × Breadth × Height = $$\sqrt{3600}$$​ = 60

Thus, the volume of the cuboid is 60 m³