# Surface Area of a Square Prism

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A square prism is a solid 3-dimensional geometric figure which has a square base. A square prism has the face opposite to the base as also a square, and they are both congruent squares. A square prism containing the remaining faces as rectangles is known as a right square prism. Surface area is calculated by finding the sum of areas of all the surfaces and surface area of a square prism can be calculated by adding the area of the square bases and then the areas of the remaining surfaces.

Example 1: What is the surface area of a right square prism whose side of the base is 8m and the height of the prism is 12m?

Given: side of the base, s= 8m

Height of the prism, h= 12m

Since it is a square prism, the base of the prism is a square.

Surface area of a square prism = 2s2 + 4* s* h

Area of the square base, A= (side)2 = (8m)2 = 64m2

This gives: Surface area of the prism, SA= (2* 64) + (4* 8* 12)= 512m2

Example 2: What is the surface area of a right square prism whose side of the base is 7m and the height of the prism is 9m?

Given: side of the base, s= 7m

Height of the prism, h= 9m

Since it is a square prism, the base of the prism is a square.

Surface area of a square prism = 2s2 + 4* s* h

Area of the square base, A= (side)2 = (7m)2 = 49m2

This gives: Surface area of the prism, SA= (2* 49) + (4* 7* 9) = 350m2