Find the volume of a rectangular parallelepiped if the MBCK face area is 24 cm2

Find the volume of a rectangular parallelepiped if the MBCK face area is 24 cm2, the NMBA face area is 8 cm2 and the total edge BM is 4 cm.

The volume of a rectangular parallelepiped can be found by the following formula:

V = Sb * h, where Sb is the area of the base, and h is the height of the parallelepiped.

If the face MBCK is taken as the base, then the height will be the second unknown edge of the face NMBA. It can be found from the following formula:

h = Snmba / BM.

Let’s calculate the height of the parallelepiped:

h = 8/4 = 2 cm.

Now we can find the volume of the rectangular parallelepiped. Let’s calculate it:

V = 24 * 2 = 48 cm³.

Answer: the volume of a rectangular parallelepiped is 48 cubic centimeters.