# Square Prism

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A square prism is a 3-dimensional geometric figurewhose base is a square. The face opposite to the square base is also a square and so therefore we can say that a square prism has one pair of opposite sides as squares and hence they are congruent to each other. A square prism can have the remaining sides as parallelograms also, and if the square prism has the remaining sides as rectangles, then it is known as a right square prism.

Example 1: What is the volume of a square prism whose side of the base is 5m and the height of the prism  is 8m?

Given: side of the base = 5m

Height of the prism = 8m

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

Volume of a prism = (Area of the base) * (height of the prism)

Area of the square base, A = (side)2 = (5m)2 = 25m2

This gives: Volume of the prism, V = 25m2 * 8m = 200m3

Example 2: What is the surface area of a right square prism whose side of the base is 6m and the height of the prism is 10m?

Given: side of the base, s= 6m

Height of the prism, h= 10m

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 = (6m)2 = 36m2

This gives: Surface area of the prism, SA= 2* 36+ 4* 6* 10 = 312m2