Maths-

General

Easy

Question

# Find the height of a cuboid whose base area is 180cm^{2} and volume is 900cm^{2}

- 9 cm
- 10 cm
- 5 cm
- 3 cm

Hint:

### Volume of cuboid is the total space occupied by the cuboid in a three-dimensional space. A cuboid is a three-dimensional structure having six rectangular faces. These six faces of the cuboid exist as a pair of three parallel faces. Therefore, the volume is a measure based on the dimensions of these faces, i.e. length, width and height. It is measured in cubic units.

## 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 .

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