The volume of a rectangular parallelepiped is 1/14 dm3. Find its height if the length is 5/12 and the width is 3/5 dm.

Let’s find what the product of the length and width of the volumetric figure is equal to, if the length is 5/12 dm, and the width is 3/5 dm:

1) 5/12 * 3/5 = 1/4 (dm2).

To find the third parameter, we divide the volume by the resulting product, since volume is equal to the product of the base area and height:

2) 1/14: 1/4 = 4/14 = 2/7 (dm).

Answer: the figure has a height equal to 2/7 dm.