The side edges of the triangular pyramid are 3 cm, 4 cm and 5 cm and are mutually perpendicular.

The side edges of the triangular pyramid are 3 cm, 4 cm and 5 cm and are mutually perpendicular. Find the volume of the pyramid.

Triangular pyramid;

The lateral ribs are mutually perpendicular;

Rib length = 3, 4 and 5 cm.

Let’s find the volume of the pyramid.

1) Since the edges are mutually perpendicular, it means that a right-angled triangle lies at the base.

Let the legs of a right-angled triangle be 3 cm and 4 cm, then 5 cm is the height of the triangular pyramid.

2) Find the area of the base, that is, the area of a right-angled triangle. It is equal to half the product of the legs.

S = 1/2 * 3 * 4 = 4/2 * 3 = 2 * 3 = 6 cm ^ 2;

3) Find the volume of the triangular pyramid by the formula:

V = 1/3 * S * h = 1/3 * 6 * 5 = 2 * 5 = 10 cm ^ 3.