The width of the rectangular parallelepiped is 14 cm; it is three times less than the length; the height of the parallelepiped

The width of the rectangular parallelepiped is 14 cm; it is three times less than the length; the height of the parallelepiped is 12 cm less than the length. Find the volume of this box.

Find the length of the parallelepiped by multiplying the width by 3, since it is known that it is three times larger:

b = 14 * 3 = 42 cm.

The height of the parallelepiped is 12 cm less than the length, then we get the height by calculating the difference between these values:

h = 42 – 12 = 30 cm.

Now, knowing all the measurements of a rectangular parallelepiped, we will find its volume by the formula:

V = a * b * h = 14 * 42 * 30 = 17640 cm3.