# The sum of the lengths of all the edges of a rectangular parallelepiped is 144 centimeters Its length

August 27, 2021 | education

| **The sum of the lengths of all the edges of a rectangular parallelepiped is 144 centimeters Its length is 15 centimeters wide 12 centimeters Find the volume of a rectangular parallelepiped.**

1) The perimeter of a rectangular parallelepiped can be calculated using the formula:

P = 4 (a + b + c), where P is the perimeter of the parallelepiped (P = 144 cm), a is the length of the parallelepiped (a = 15 cm), b is the width of the parallelepiped (b = 12 cm), c is the height of the parallelepiped.

144 = 4 (15 + 12 + s).

27 + c = 144/4.

c = 36 – 27 = 9 cm.

2) The volume of a rectangular parallelepiped can be calculated by the formula:

V = a * b * c = 15 * 12 * 9 = 1620 cm3.

Answer: The volume of a rectangular parallelepiped is 1620 cm3.

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