The diagonal of the cube is √27. Find its volume.
| May 5, 2021 | education
The square of the diagonal of a parallelepiped is equal to the sum of the squares of its three dimensions, and since this parallelogram is a cube, then d ^ 2 = 3 * a ^ 2.
a ^ 2 = d ^ 2/3 = 27/3 = 9.
a = √9 = 3 cm.
Let’s define the volume of the cube.
V = a ^ 3 = 3 ^ 3 = 27 cm3.
Answer: The volume of the cube is 27 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.
