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Volume and surface area of a prism

prism

prism h a a a
aedge
hheight

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

Ab =

lateral area

Al =

Error

Round to decimal place

Calculation procedure

Formulas

prism

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

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