The sum of the lengths of all the edges of a rectangular parallelepiped is 100 houses and its measurement
June 14, 2021 | education
| The sum of the lengths of all the edges of a rectangular parallelepiped is 100 houses and its measurement is 8 dm and 13 dm. find the third dimension of the parallelepiped.
Since the length of all the edges of a rectangular parallelepiped is calculated by the formula:
P = 4 * (a + b + c), where a, b, c are the length of its measurements.
Substituting the values given to us according to the condition and designating the unknown value of the variable x, we get the following equation:
4 * (8 + 13 + x) = 100 Having solved this equation, we get the desired answer.
4 * (21 + x) = 100
21 + x = 100/4 = 25
x = 25 – 21 = 4 cm. length of the third dimension.
Answer: The length of the third dimension of a rectangular parallelepiped is 4 cm.
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