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).
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