The edge of the cube is equal to 1 dm. Find the volume of the cube, the edge of which has been reduced by 3 times.
March 9, 2021 | education
| The volume of a cube is found by the formula V = x ^ 3, where x is the edge of the cube.
Because the edge was reduced three times, then x = 10 / 3cm.
We find:
V = (10/3) ^ 3
We raise both the numerator and denominator to the third power:
V = 10 ^ 3/3 ^ 3
V = 1000/27
Answer: the volume of the cube is 1000 / 27cm ^ 3 (1 / 27dm ^ 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.