# At the base of the triangular pyramid lies a right-angled triangle with legs 12 cm and 8 cm.

September 26, 2021 | education

| **At the base of the triangular pyramid lies a right-angled triangle with legs 12 cm and 8 cm. The height of the pyramid is 10 cm. Find the volume of this pyramid.**

To find the volume of a triangular pyramid, use the following formula:

V = 1/3 * S main * H.

The height of the pyramid is known by condition, we find the area of a right-angled triangle, which is the base of this pyramid:

S main = 1/2 * a * b = 1/2 * 12 * 8 = 48 (cm²).

V = 1/3 * 48 * 10 = 160 (cm³).

Answer: the volume of the pyramid is 160 cm³.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.