Parallelepiped volume

From ancient times, people needed to measure the amount of various substances. Bulk substances and liquids could be measured by filling them with vessels of a certain capacity, determining their quantity by volume. The concept of volume in solid geometry is introduced similarly to the concept of area in plane geometry. In plane geometry, we determined the area like this: the area of ​​a polygon is the value of the part of the plane that the polygon occupies. To formulate the concept of volume similarly to this concept. The magnitude of the part of the space occupied by the geometric body is called the volume of this body. Volume is measured in "cubic" units.

A parallelepiped is a prism based on a parallelogram, or (equivalently) a polyhedron, which has six faces and each of them is a parallelogram.

A rectangular box is a geometric body, or rather a prism, at the base of which lies a rectangle. Therefore, using the method of deriving the formula for a prism, we obtain that it is possible to calculate the volume of a parallelepiped, knowing its base area and height. Since the area of the rectangle lying at its base is equal to the product of the sides, therefore, the volume of the box depends on its three parameters - length, width and height.