Find the volume of a rectangular parallelepiped if its length is 3√15 cm, width is √10 cm, and height is 2√6.

The volume of a rectangular parallelepiped is found by the formula:

V = abc, where a, b and c are the length, width and height of the parallelepiped.

In the problem, all these three quantities are known, it remains to find the volume of the figure. Let’s carry out the calculations:

V = 3√15 * √10 * 2√6 = 6√900 = 6 * 30 = 180 cm³.

Answer: the volume of a rectangular parallelepiped is 180 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.