The sum of the lengths of all the edges of a rectangular parallelepiped is 96, its two dimensions are 7cm and 12.
| March 1, 2021 | education
The sum of the lengths of all the edges of a rectangular parallelepiped is 96, its two dimensions are 7cm and 12. find the third dimension.
The sum of the lengths of all edges can be calculated using the formula:
L = a * 4 + b * 4 + c * 4 = 4 * (a + b + c).
From this dependence, we express one of the parties, and:
a + b + c = L / 4, a = L / 4 – b – c.
Thus, if b = 7, c = 12 cm, and L = 96 cm, we find a:
a = 96/4 – 7 – 12,
a = 24 – 7 – 12,
a = 5.
Answer: the third edge of the parallelepiped is 5 cm long.
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.
