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