The sum of the lengths of all the edges of the rectangular parallel of the pip is equal to the sum of the lengths
| June 19, 2021 | education
The sum of the lengths of all the edges of the rectangular parallel of the pip is equal to the sum of the lengths of all the edges of the cube. Measurements of the rectangular parallels are 13 cm; 8 cm and 6 cm. Find the volume of the cube.
The sum of the lengths of the edges of the cube is equal to three times the product of the length of one edge – 3 * a;
The sum of the lengths of the edges of the parallelepiped is 13 + 8 + 6 = 27 (cm);
Then the length of the edge of the cube is 27/3 = 9 (cm);
The volume of the cube is equal to the cube of the edge – 9 ^ 3 = 729 (cm ^ 3);
Answer: the volume of the cube is 729 cm ^ 3.
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