Ramp calculator and formulas

This function calculates various parameters of a ramp. Select the two side lengths that are known and enter their values and the width of the ramp. Then click on 'Calculate'.

Ramp calculator

Input

Width w

Decimal places

Results

Length

Angle α

Angle β

Top area A_T

Side area A_s

Surface S

Volume V

Slope m

Formulas for a ramp

Volume

\(\displaystyle V = \frac{ a\cdot b\cdot w}{2}\)

Hypotenuse

\(\displaystyle c = \sqrt{a^2 + b^2}\)

Angle α

\(\displaystyle α = acos\left( \frac{ b^2 + c^2 - a^2}{2\cdot b\cdot c}\right)\)

Angle β

\(\displaystyle β = 90° - α\)

Surface

\(\displaystyle A = a \cdot b + w \cdot ( a + b + c )\)

Side area

\(\displaystyle A_S= \frac{a \cdot b }{ 2} \)

Top area

\(\displaystyle A_T = c \cdot w \)

Slope

\(\displaystyle m = tan(β) \)

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