Volume Of Shapes

Imagine the common things in a dice, a television box, and block game in terms of their shapes and sides.

Each of the objects or shapes is a perfect example of the perfect cube, which is the unique three-dimensional shape that has squares for all the six of its sides. So, how do you find out how big the shape of the cube is?

The object can be measured by its volume which can be said to be the amount of space that the cube takes or the amount of space inside the cube. This definition is applied to our examples.

The volume of the dice or a block game is the amount of space the cube takes for both objects. The tv box is also an example of a cube whose volume can be specified by the space it has in it. The units of a cube are useful for measuring the volume.

The dice’s volume is measured by the length of its edges. This generally means that you take a cube which has a side length of only one inch, which would take around 1728 for them to fill it up for the cube shape. Then we will calculate its volume by using all three dimensions like height, width, and length or say the same length raised to the power of 3.

Calculation of volume of shapes

Different shapes have different formulas for volumes. Below is a table of the most common 3-D shapes with their volume equation:

volume of shapes

Example 1

Find out the volume of the cube with its side of 5 cm.

Volume of cube = s * s * s or s3

= 5 * 5 * 5
= 125 cubic cm

Example 2

Find the volume of a rectangular prism with sides 10 in, 11 in, and 12 in.

Volume of rectangular prism = 10 * 11 * 12 = 1320 cubic

Example 3

Find the volume of a cylinder with a radius of 2 m and a height of 2 m.

Volume of cylinder = π * r2 * h = π* 22* 2 = 8π cubic meters.