At the base of the straight prism lies a rhombus with an angle of a = 60 degrees. how will the volume of this prism change
| July 18, 2021 | education
At the base of the straight prism lies a rhombus with an angle of a = 60 degrees. how will the volume of this prism change if the angle a is doubled and the lengths of all edges are not changed?
Since the length of its base and the height of the prism do not change, we will check how the base area can change, which can affect the volume.
The sum of the adjacent angles of the rhombus is 180, then the angle ABC = (180 – 60) = 120.
Therefore, if we increase the AED angle to 120, then the ABC angle will decrease to 60, and since the area of the rhombus is: S = AB ^ 2 * SinBAD = AB ^ 2 * SinABC, the area of the rhombus will not change, and therefore the volume will not change. pyramids.
Answer: The volume of the pyramid will not change.
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.
