The sum of the lengths of all the edges of the rectangular parallelepiped is equal to the sum
| July 22, 2021 | education
The sum of the lengths of all the edges of the rectangular parallelepiped is equal to the sum of the lengths of all the edges of the cube, the dimensions of the rectangular parallelepiped are 13 cm 8 cm and 6 cm find the volume of the cube.
The solution of the problem.
We will solve this problem by actions.
1. Find the sum of the lengths of all edges of the rectangular parallelepiped.
(13 cm + 8 cm + 6 cm) * 4 = 108 cm.
2. What is the sum of the lengths of all edges of the cube?
108 cm.
3. Find the length of the edge of the cube.
108 cm: 12 = 9 cm.
4. Let’s calculate the volume of the cube.
(9 cm) ^ 3 = 729 cm ^ 3.
Answer. The volume of the cube is 729 cubic centimeters.
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