How to find the surface area of a trapezoidal prism?
A trapezoidal prism is a three-dimensional solid made up of two trapezoids on opposite faces joined by four rectangles called the lateral faces.
Answer: The surface area of a trapezoidal prism is h (b + d) + l (a + b + c + d)
We will find the surface area of a trapezoidal prism in few steps.
Explanation:
Let's solve this question with the help of a given diagram of the trapezoidal prism.
We know that the base of a prism is in the shape of a trapezoid.
The surface area of the trapezoidal prism (S) = 2 × area of base + lateral surface area ---- (1)
Area of trapezoid = h (b + d)/2 ---- (2)
The lateral surface area of the trapezoidal prism = the sum of the areas of each rectangular surface around the base.
= (a × l) + (b × l) + (c × l) + (d × l) ---- (3)
Put the values from equation (2) and equation (3) in equation (1):
The surface area of the trapezoidal prism (S) = 2 × h (b + d)/2 + (a × l)+(b × l) + (c × l) + (d × l)
S = h (b + d) + a × l + b × l + c × l + d × l
S = h (b + d) + l (a + b + c + d)