What is the volume of a rectangular parallelepiped if its length is 3 cm, width 6 cm, height 4 cm?

Formula for the volume of a rectangular parallelepiped:

V = S * h, where S is the base area.

Let’s find the area of the base. The base of the box will be a rectangle. The area of the rectangle is calculated by the formula:

S = a * b.

Substitute the length and width of the parallelepiped into this formula:

S = 6 * 3 = 18 cm ^ 2.

Now we can calculate the volume:

V = 18 * 4 = 72 cm ^ 3.

Answer: the volume of a parallelepiped is 72 cm ^ 3.