Volume and surface area of a prism

A prism consists of two parallel bases and a lateral surface.
The calculator performs calculations in a right regular prism.
A right prism has lateral edges perpendicular to the base.
A regular prism is a prism the base of which has all edges of the same length.

prism

a	edge
h	height

Calculator

Select the units of measurement

Enter the number of edges

number of edges

n =

Enter 2 values

edge

a =

height

h =

volume

V =

surface area

A =

base area

A_b =

lateral area

A_l =

Error

Round to decimal place

Calculation procedure

Formulas

prism

n	number of edges

volume

$$ V = A_b \cdot h $$

surface area

$$ A = 2 \cdot A_b + A_{l} $$

base area

$$ \begin{aligned} &A_b = \frac{1}{4} n a^2 \cot\frac{180^\circ}{n} \\ \\ & n = 3 \ \Rightarrow \ A_b = \frac{\sqrt{3}}{4} a^2 \\ \\ & n = 4 \ \Rightarrow \ A_b = a^2 \end{aligned} $$

lateral area

$$ A_{l} = n a h $$

Volume and surface area of a prism

prism

Calculator

Select the units of measurement

Enter the number of edges

number of edges

Enter 2 values

edge

height

volume

surface area

base area

lateral area

Error

Calculation procedure

Formulas

prism

Rating