The sum of the lengths of all the edges of the rectangle of the parallelepiped is 144 cm, its length is 15 cm

The sum of the lengths of all the edges of the rectangle of the parallelepiped is 144 cm, its length is 15 cm, the width is 12 cm. Find the volume of the rectangle.

A rectangular parallelepiped has four identical edges of length, width, height.
Therefore, the length of all ribs in height will be equal to:
144 cm – (15 cm + 12 cm) x 4 = 144 cm – 27 cm x 4 = 144 cm – 108 cm = 36 cm.
36/4 = 9 cm – the length of one rib in height.
Determine the volume of a rectangular parallelepiped using the following formula:
V = a b c, where
V – volume,
a, b and c are edges.
V = 15 cm x 12 cm x 9 cm = 1 620 cm3.
The volume of a rectangular parallelepiped is 1 620 cm3.



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