Table of Contents

Last modified on August 3rd, 2023

chapter outline

 

Surface Area of a Trapezoidal Prism

The surface area of a trapezoidal prism is the entire amount of space occupied by its outer surface (or faces). It is measured in square units such as m2, cm2, mm2, and in2.

Formula

The formula is given below:

Surface Area of a Trapezoidal Prism

Let us solve some examples to understand the concept better.

Solved Examples

Find the lateral and the total surface area of a trapezoidal prism given in the figure.

Solution:

As we know,
Lateral Surface Area (LSA) = (a + b + c + d) × l, here a = 16 cm, b = 11 cm, c = 8 cm, d = 9 cm, l = 19 cm
∴LSA = (16 + 11 + 8 + 9) × 19
= 836 cm2
Total Surface Area (TSA) = (a + b) × h + LSA, here a = 16 cm, b = 11 cm, h = 7 cm, LSA = 836 cm2
∴ TSA = (16 + 11) × 7 + 836
= 1025 cm2

Find the total surface area of a trapezoidal prism given in the figure.

Solution:

As we know,
Total Surface Area (TSA) = (a + b) × h + (a + b + c + d) × l, here a = 7 in, b = 4 in, c = 3.5 in, d = 3 in, h = 2 in, l = 22 in
∴ TSA = (7 + 4) × 2 + (7 + 4 + 3.5 + 3) × 22
= 407 in2

Last modified on August 3rd, 2023

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