Volume of Triangular Prism given Side and Altitude Calculator

Calculate Volume







Formula

The formula to calculate the Volume of a Triangular Prism (V) is:

\[ V = h \left( \frac{h_a \times S_a}{2} \right) \]

Where:

Definition

The Volume of a Triangular Prism is the total quantity of three-dimensional space enclosed by the surface of the Triangular Prism.

The Height of a Triangular Prism is the length of the straight line connecting any base vertex to the corresponding top vertex of the Triangular Prism.

The Altitude on Side A of the Base is the perpendicular distance from the vertex to the opposite side A of the base of the Triangular Prism.

The Side A of the Base is the length of the side A of the base, one of the three base edges of the Triangular Prism.

How to calculate Volume of a Triangular Prism

Let's assume the following values:

Using the formula:

\[ V = h \left( \frac{h_a \times S_a}{2} \right) \]

Evaluating:

\[ V = 25 \left( \frac{13 \times 10}{2} \right) \]

The Volume is 1625 m³.

Volume Conversion Chart

Height (m) Altitude (m) Side A (m) Volume (m³)
10 5 5 125.0000
10 5 10 250.0000
10 5 15 375.0000
10 5 20 500.0000
10 10 5 250.0000
10 10 10 500.0000
10 10 15 750.0000
10 10 20 1,000.0000
10 15 5 375.0000
10 15 10 750.0000
10 15 15 1,125.0000
10 15 20 1,500.0000
10 20 5 500.0000
10 20 10 1,000.0000
10 20 15 1,500.0000
10 20 20 2,000.0000
20 5 5 250.0000
20 5 10 500.0000
20 5 15 750.0000
20 5 20 1,000.0000
20 10 5 500.0000
20 10 10 1,000.0000
20 10 15 1,500.0000
20 10 20 2,000.0000
20 15 5 750.0000
20 15 10 1,500.0000
20 15 15 2,250.0000
20 15 20 3,000.0000
20 20 5 1,000.0000
20 20 10 2,000.0000
20 20 15 3,000.0000
20 20 20 4,000.0000
30 5 5 375.0000
30 5 10 750.0000
30 5 15 1,125.0000
30 5 20 1,500.0000
30 10 5 750.0000
30 10 10 1,500.0000
30 10 15 2,250.0000
30 10 20 3,000.0000
30 15 5 1,125.0000
30 15 10 2,250.0000
30 15 15 3,375.0000
30 15 20 4,500.0000
30 20 5 1,500.0000
30 20 10 3,000.0000
30 20 15 4,500.0000
30 20 20 6,000.0000
40 5 5 500.0000
40 5 10 1,000.0000
40 5 15 1,500.0000
40 5 20 2,000.0000
40 10 5 1,000.0000
40 10 10 2,000.0000
40 10 15 3,000.0000
40 10 20 4,000.0000
40 15 5 1,500.0000
40 15 10 3,000.0000
40 15 15 4,500.0000
40 15 20 6,000.0000
40 20 5 2,000.0000
40 20 10 4,000.0000
40 20 15 6,000.0000
40 20 20 8,000.0000
50 5 5 625.0000
50 5 10 1,250.0000
50 5 15 1,875.0000
50 5 20 2,500.0000
50 10 5 1,250.0000
50 10 10 2,500.0000
50 10 15 3,750.0000
50 10 20 5,000.0000
50 15 5 1,875.0000
50 15 10 3,750.0000
50 15 15 5,625.0000
50 15 20 7,500.0000
50 20 5 2,500.0000
50 20 10 5,000.0000
50 20 15 7,500.0000
50 20 20 10,000.0000