Table of Contents
Last modified on August 3rd, 2023
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.
The formula is given below:
Let us solve some examples to understand the concept better.
Find the lateral and the total surface area of a trapezoidal prism given in the figure.
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.
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