Table of Contents

Last modified on August 3rd, 2023

The surface area (or total surface area) of a square prism is the entire amount of space occupied by all its outer surfaces (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 total surface area of a square prism with a base edge of 6 cm and a length of 15 cm.**

Solution:

As we know,

Lateral Surface Area (*LSA*) = 4*al, *here *a* = 6 cm, *l* = 15 cm

∴ *LSA* = 4 × 6 × 15

= 360 cm^{2}*Total Surface Area (TSA) = 2a ^{2} + LSA, *here

∴

= 432 cm

**Find the lateral surface area of a square prism with a base edge of 2.5 ft and length of 5 ft.**

Solution:

As we know,

Lateral Surface Area (*LSA*) = 4*al*, here *a* = 2.5 ft, *l* = 5 ft

∴ *LSA* = 4 × 2.5 × 5

= 50 ft^{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