# Volume of a Square

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A square is a 2-dimensional geometric shape which consists of 4 equal sides aligned perpendicular to each other. We can calculate the area of a square and the perimeter of a square, but in order to calculate the volume we need 3 dimensions and hence we cannot calculate the volume of a square. However, a cube is 3-dimensional structure which consists of 6 congruent square surfaces with equal sides. Therefore the volume of a cube can be calculated and it depends on the length of the square side.

Example 1:What is the volume of the cube whose side length measures 9m?

Given the side length of the cube, s = 9m

A cube is formed by 6 square surfaces and volume of a cube is the measure of the space contained inside the cube.

Volume of a cube, V = s3

Therefore volume of the given cube, V = (9m)3

This gives: Volume, V = 729m3

Therefore the volume of the cube whose side measures 9m is 729m3

Example 2: What is the volume of the cube whose side length measures 3m?

Given the side length of the cube, s = 3m

A cube is formed by 6 square surfaces and volume of a cube is the measure of the space contained inside the cube.

Volume of a cube, V = s3

Therefore volume of the given cube, V = (3m)3

This gives: Volume, V = 27m3

Therefore the volume of the cube whose side measures 3m is 27m3