VOLUME OF A PRISM

The volume of a prism is the amount of space it occupies within it. To calculate the volume of a prism, we need to know its base and its height.

Formula to calculate the volume of a prism

The formula for calculating the volume of a prism is:

V = B × H

Where:

- V is the volume of prism
- B is the prism base area
- H is the height of the prism

Types of prisms and their volume formulas

Next, I present some types of prisms and their volume formulas:

1. *rectangular prism *: v = l × a × h (where l is length, a is the width and h is the height)
2. *triangular prism *: v = (b × h) × h/2 (where b is the base and h is the height)
3. *Pentagonal prism *: v = (b × h) × h/2 (where b is the base and h is the height)
4. *Hexagonal prism *: v = (b × h) × h/2 (where b is the base and h is the height)

Example

Suppose we want to calculate the volume of a rectangular prism with a length of 5 cm, a width of 3 cm and a height of 2 cm.

V = L × A × H
V = 5 × 3 × 2
V = 30 cm³

Therefore, the volume of rectangular prism is 30 cm³.