Prism volume calculator

From ancient times, people needed to measure the amount of various substances. Bulk substances and liquids could be measured by filling them with vessels of a certain capacity, determining their quantity by volume. The concept of volume in solid geometry is introduced similarly to the concept of area in plane geometry. In plane geometry, we determined the area like this: the area of ​​a polygon is the value of the part of the plane that the polygon occupies. To formulate the concept of volume similarly to this concept. The magnitude of the part of the space occupied by the geometric body is called the volume of this body. Volume is measured in "cubic" units.

Prism — is a polyhedron, two faces of which are congruent (equal) polygons lying in parallel planes, and the remaining faces are parallelograms that have common sides with these polygons. These parallelograms are called the lateral faces of the prism, and the remaining two polygons are called their bases.

Calculating the volume of a prism is an essential skill in geometry. Whether you are a student, a teacher, or someone who needs to work with prisms, our prism volume calculator can help you find the volume of any prism with ease.

Prism Volume Formula

The formula for finding the volume of a prism is:

V = Sh

where V is the volume, S is the area of the base, and h is the height of the prism.

How to Use the Prism Volume Calculator

Our prism volume calculator is designed to make it easy for you to find the volume of any prism. To use the calculator:

1. Enter the area of the base of the prism.
2. Enter the height of the prism.
3. The calculator will automatically calculate the volume of the prism.

Prism Volume Examples

Here are some examples of finding the volume of a prism using the formula:

Example 1

Find the volume of a rectangular prism with a base of length 5 cm and width 8 cm, and a height of 10 cm.

S = lw = 5 x 8 = 40

V = Sh = 40 x 10 = 400

Example 2

Find the volume of a triangular prism with a base of height 4 cm and base width 6 cm, and a height of 12 cm.

S = \dfrac{bh}{2} = \dfrac{6 x 4}{2} = 12

V = Sh = 12 x 12 = 144

Conclusion

Calculating the volume of a prism can be challenging, but with our prism volume calculator and formula, it's easy to find the volume of any prism. Try it out for yourself and see how easy it can be!