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 m^{2}, cm^{2}, mm^{2}, and in^{2}.

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.**

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 cm^{2}

Total Surface Area (*TSA*) = *(a + b) × h* *+ LSA, *here *a* = 16 cm, *b* = 11 cm, *h* = 7 cm, *LSA = *836 cm^{2}

∴ *TSA* = (16 + 11) × 7 + 836

= 1025 cm^{2}

**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 in^{2}

**More Resources:**- Volume of a Prism
- Surface Area of a Prism
- Right Prism
- Oblique Prism
- Rectangular Prism
- Volume of a Rectangular Prism
- Surface Area of a Rectangular Prism
- Triangular Prism
- Volume of a Triangular Prism
- Surface Area of a Triangular Prism
- Hexagonal Prism
- Volume of a Hexagonal Prism
- Surface Area of a Hexagonal Prism
- Pentagonal Prism
- Volume of a Pentagonal Prism
- Surface Area of a Pentagonal Prism
- Trapezoidal Prism
- Volume of a Trapezoidal Prism
- Surface Area of a Trapezoidal Prism
- Square Prism
- Volume of a Square Prism
- Surface Area of a Square Prism
- Octagonal Prism
- Heptagonal Prism
- Decagonal Prism

Last modified on August 3rd, 2023