# What is The Volume of The Trapezoidal Prism?

A prism is a solid object which has identical ends, flat faces, and the same cross-section all along its length.

## Answer: The volume of the trapezoidal prism is 1/2 × h × (a + b) × l

The volume of the trapezoidal prism can be calculated by multiplying the length of the prism and the area of the base.

**Explanation:**

Let's consider the trapezoidal prism as shown below.

First, we will calculate the base area using the formula for area of a trapezoid,

A = 1/2 × h × (a + b) ------------ (1)

Where,

- A = Area of Trapezoidal Prism
- h = Height of the Trapezoidal
- a = Length of the top
- b = Length of the bottom

Now, Volume = Area × length of the prism

Substituting Area from (1) we get,

V = 1/2 × h × (a + b) × l

Where.

- V = Volume of the prism
- l = length of the prism