The width of the rectangular parallelepiped is 14cm, it is 3 times less than the length

The width of the rectangular parallelepiped is 14cm, it is 3 times less than the length, the height of the parallelepiped is 12cm less than the length, find the volume of this parallelepiped.

By the condition of the problem, the width of a rectangular parallelepiped, equal to 14 cm, is 3 times less than its length. Find the length by multiplying the width by 3:

1) 14 * 3 = 42 (cm).

It is known that the height of a rectangular parallelepiped is 12 cm less than its length. So let’s calculate the height, subtracting 12 from the length:

2) 42 – 12 = 30 (cm).

Let’s calculate the volume of a rectangular parallelepiped equal to the product of its three dimensions:

3) V = 14 * 42 * 30 = 17640 (cm³).

Answer: the volume of a rectangular parallelepiped is 17640 cm³.