Wedge calculator and formulas

This function calculates the volume, surface area and side length of a wedge.

To calculate, enter the values of the three sides and the height. Then click on the 'Calculate' button.

Wedge calculator

Input

Side a

Side b

Side c

Height h

Decimal places

Results

Volume V

Surface S

Sloping edge s

Formulas for a wedge

Volume

\(\displaystyle V = b\cdot h \cdot \left(\frac{a}{3} + \frac{c}{6}\right) \)

Surface

\(\displaystyle S = a\cdot b + (a+c) \cdot \sqrt{s^2 - \left(\frac{a-c}{2}\right)^2} \) \(\displaystyle + b\cdot \sqrt{\frac{4 s^2-b^2}{4}}\)

Sloping edge

\(\displaystyle s = \sqrt{h^2 + \left(\frac{a-c}{2}\right)^2 + \left(\frac{b}{2}\right)^2} \)