#Find volume of trapezoidal prism how to#

Step 2: Identify the length H of the prism.

Add these 4 values in order to find the perimeter P.

Step 1: Identify the four sides of the trapezium - a, b, c, and d, representing the widths of the four rectangles.

Note that all measurements are of the same units.

Here are the steps to calculate the surface area of a trapezoidal prism.

#Find volume of trapezoidal prism how to#

How to Calculate the Surface Area of a Trapezoidal Prism? Thus, the total surface area of a trapezoidal prism is h(b+d)+l(a+b+c+d) square units. TSA of the trapezoidal prism = h (b + d) + l (a + b + c + d). Therefore, the total surface area of the trapezoidal prism (TSA) = 2 × h (b + d)/2 + (a × l)+(b × l) + (c × l) + (d × l) = h (b + d) + Substituting the values from equation (2) and equation (3) in the TSA formula, which is represented by equation (1): The lateral surface area of the trapezoidal prism (LSA) is the sum of the areas of each rectangular surface around the base that means, LSA = (a × l) + (b × l) + (c × l) + (d × l) - (3) Thus, the area of trapezoidal base = h (b + d)/2 - (2) We already know that the total surface area of the trapezoidal prism (TSA) = 2 × area of base + lateral surface area - (1)Īlso, the area of a trapezoid = height(base1 × base 2)/2.

l is the length of the trapezoidal prism.

h is the distance between the parallel sides.

We know that the base of a prism is in the shape of a trapezoid.

Derivation of Surface Area of Trapezoidal Prism