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 and the width is 12 cm, find the object of the rectangular parallelepiped.

To solve this problem, remember that the volume of a rectangular parallelepiped is equal to the product of length and width and height. A rectangular parallelepiped has only 12 edges. Let’s calculate the length of one edge, knowing that the sum of the lengths of the edges is 144 centimeters.

15 * 4 + 12 * 4 + 4x = 144;

60 + 48 + 4x = 144;

4x = 144 – 60 – 48;

4x = 36;

x = 36/4;

x = 9 centimeters.

Let’s calculate what the volume of a rectangular parallelepiped is, knowing that the height is 9 centimeters.

V = 15 * 12 * 9 = 1620 sq. Cm.

Answer: 1620 sq. Cm.