The base side of a regular rectangular prism ABCA1B1C1 is 2, and the height of this prism is 2
| May 20, 2021 | education
The base side of a regular rectangular prism ABCA1B1C1 is 2, and the height of this prism is 2√3. Find the volume of prism ABCA1B1C1.
Since the prism is regular, at its base lies an equilateral triangle, in which the lengths of all sides are equal, and all internal angles are 60.
Determine the area of the base of the prism.
Sbn = АС * ВС * Sin60 / 2 = (2 * 2 * √3 / 2) / 2 = √3 cm2.
The volume of a straight prism is equal to the product of the area of its base by the height of the prism.
V = Sbn * АА1 = √3 * 2 * √3 = 6 cm3.
Answer: The volume of the prism is 6 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.
