Table of Contents

Last modified on August 3rd, 2023

chapter outline

 

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:

Surface Area of a Square Prism

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

Last modified on August 3rd, 2023

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