Surface Area of a Square Prism

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 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 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) = 4al, here a = 6 cm, l = 15 cm
∴ LSA =  4 × 6 × 15
= 360 cm²
Total Surface Area (TSA) = 2a² + LSA, here a = 6 cm, LSA = 360 cm²
∴ TSA =  2 × 6² + 360
= 432 cm²

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) = 4al, here a = 2.5 ft, l = 5 ft
∴ LSA = 4 × 2.5  × 5
= 50 ft²

• 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