A straight prism and a pyramid have equal bases and heights. What is the volume of the pyramid

univerkov | July 25, 2021 | education

A straight prism and a pyramid have equal bases and heights. What is the volume of the pyramid if the volume of the prism is V = 15 cm ^ 3.

To solve this problem, let us recall the formulas for the volume of a straight prism and the volume of a pyramid. The volume of a straight prism is equal to the product of the base area by the height. The volume of the pyramid is equal to one third of the product of the area of the base and the height. Knowing that the volume of the prism is equal to Ssc * H = 15 cm, we calculate the volume of the pyramid.
S feast = 1/3 * Sosn * H = 1/3 * 15 = 15/3 = 5 cm ^ 3.
Answer: 5 cm ^ 3.

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.