Find the height of a cuboid whose base area is 180cm² and volume is 900cm²

The correct answer is: 5 cm

Volume of cuboid = Base area × Height  [Cubic units]
The base of the cuboid is rectangle in shape. So, the base area of a cuboid is equal to the product of its length and breadth. Hence,
Volume of a cuboid = length × breadth × height    [cubic units]
or
Volume of a cuboid = l × b × h    [cubic units]
Where,

• l = length
• b = breadth
• h = height

We have given that,
Base area of cuboid = length × breadth = 180 cm²
Volume of cuboid = length × breadth × height = 900 cm³

• We will get,

Volume of a cuboid = Base area of cuboid × height of the cuboid
900 cm³ = 180 cm² × height

• On dividing both sides by 180 we get,

height =  = 5 cm
Thus, the height of the cuboid is 5 cm.
The correct option is c) 5 cm .