Prism is a solid object that has two identical ends and all flat sides. The cross section is the same all along its length. The shape of the ends give the prism a name, such as "triangular prism", a prism with triangular base. A prism has two bases, which are congruent polygons lying in parallel planes. The volume of a prism is the product of area of base and height of the prism. Volume of prism is measured in cubic units.

The amount of space occupied by an object is called its volume. Cubic units are used to measure the volume. The volume of a object is the number of cubes required to fill it completely.

Prism

Formula:

The Volume of a Prism = Ah.


Where,
A = Area of the base
h = Height of the prism.

The Volume of a prism is simply the area of one end times the length of the prism. To find the area of a prism, firstly find the area of the base and multiply that with the height of the prism. The actual formula used to find the volume will depend on the shape of the base of the prism.

The volume of a prism = Area of the base x Height of the prism

Steps for finding the Volume of a Prism:

Step 1:
Find the area of base of the prism.

Step 2:
Multiply the result of step 1 with height of the prism.

Step 3:
Write answer in the proper cubic unit of measurement.


Example:

What is the volume of a prism whose ends have an area of 30 in2 and which is 12 in long.

Solution:
Step 1:

Area of one end of prism = 30 in2
Length of the prism = 12 in

Step 2:


Volume of the prism = Area of one end × Length of the prism

=> V = 30 x 12

= 360

Hence the volume of the prism is 360 in3 .