Volume

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Measurement Units

Volume: The amount of space occupied by an object is called its volume.
Cubic units are used to measure the volume.(eg.cm³, m³)

The volume of a rectangular prism = length × width × height

Prism is a three dimensional object which has a uniform cross sectional area.

In this prism, the cross section is a rectangle.This is called a rectangular prism.

V = l × w × h

The volume of a prism = Area of the base × height

V = A × h

Where A is the area of the base and h is the height of the prism.

Example

1. Let's find the volume of this prism.

To find the volume of the prism, we can use the above formula.

V = l × w × h

Where l = 4cm, w = 3cm, h = 5cm

V = 4 × 3 × 5 cm³
= 60 cm³

2. Let's find the volume of this figure.

To find the volume of the prism, we can use the formula V = A × h where A is the area of the base(or area of the cross section) and h is the height(or the length of the prism)

The base of the prism is a triangle, so we need to find the area of the triangle.

Area of a triangle (A) = ½ b × h = ½ × 8 × 7 = 28 cm²

The height of the prism (h) (or the length of the prism) = 13 cm

Volume of the prism = A × h = 28 × 13 = 364 cm³

Have a Go

Problem 1

Find the volume of this cylinder.

Practice Questions

Question 1
Find the volume of this cylinder.

Question 2
Find the volume of this figure.

Solution 1

back to Have a Go

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