What is the volume of the trapezoidal prism?

Solution:

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

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

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

Therefore, the volume of the trapezoidal prism is 1/2 × h × (a + b) × l.

What is the volume of the trapezoidal prism?

Summary:

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