Volume of Triangular Prism given Two Angles and Third Side Calculator

Calculate Volume of Triangular Prism









Formula

The formula to calculate the Volume of a Triangular Prism given Two Angles and a Third Side is:

\[ V = \frac{\sin(\angle B) \sin(\pi - \angle A - \angle B)}{2 \sin(\angle A)} h S_a^2 \]

Definition

The Volume of a Triangular Prism is the total quantity of three-dimensional space enclosed by the surface of the Triangular Prism. The angles and sides are measured in radians and meters respectively.

Example Calculation

Let's assume the following values:

Using the formula:

\[ V = \frac{\sin(0.698131700797601) \sin(\pi - 0.5235987755982 - 0.698131700797601)}{2 \sin(0.5235987755982)} \times 25 \times 10^2 = 1510.05693388727 \text{ Cubic Meter} \]

The Volume of the Triangular Prism is 1510.05693388727 Cubic Meter.

Conversion Chart

Angle A (Radian) Angle B (Radian) Height (Meter) Side A (Meter) Volume (Cubic Meter)
0.5 0.7 25 10 1,565.509177204672142
0.51 0.7 25 10 1,543.344094055732967
0.52 0.7 25 10 1,521.957634590877205
0.53 0.7 25 10 1,501.305420283422336
0.54 0.7 25 10 1,481.346352530021022
0.55 0.7 25 10 1,462.042314378269339
0.56 0.7 25 10 1,443.357904209279241
0.57 0.7 25 10 1,425.260197450858186
0.58 0.7 25 10 1,407.718532938229373
0.59 0.7 25 10 1,390.704320997941068