Prism Height Calculator | How to Find Prism Height

Height in geometry - a segment of a perpendicular dropped from the top of a geometric figure to its base or to the continuation of the base. By height is also meant the length of this segment.

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.

The height of the prism can be found if is known a - the side of the base, n - the number of sides and S - the area of the lateral surface: h = \dfrac{S}{n*a} Also the height of prism can be found by it's volume, by the above formula.

Prism Height Formula

To calculate the height of a prism, you can use the following formula:

h = \dfrac{V}{S}

Where:

• h is the height of the prism
• V is the product of the area of the base and the height of the prism
• S is the area of one of the congruent polygonal bases

Step-by-Step Process: How to Find Prism Height

Enter the values for the area of the base and the volume of the prism to calculate the height of the prism:

1. Determine the area of one of the congruent polygonal bases
2. Determine the volume of the prism
3. Use the Prism Height Formula above to calculate the height of the prism
4. Enter the values of the area of the base and the volume of the prism into our Prism Height Calculator to get an instant result