# 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:

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

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