# Height of a parallelepiped. Formula. How to find the height of a box?

Height of a parallelepiped. Formula. How to find the height of a box?

• A parallelepiped is a polyhedron with six sides. And the height of the parallelepiped is a perpendicular from the top of the parallelepiped to its base. The height of the parallelepiped is calculated from the formula H = V / S, where H is the height, V is the volume, and S is the base area.

• A parallelepiped is a prism whose base is a parallelogram. A parallelepiped is six faces, and all of them are parallelograms. A parallelepiped whose four lateral faces are rectangles is called a straight line. A straight parallelepiped, in which all six facets are rectangles-rectangular. Volume - the area of ​​the base, multiplied by the height - V = SH, FROM THE HEIGHT H = V / S. 7 class, in my opinion.

• Height of parallelepiped - this is the distance between the planes of its 2 bases (ABCD and A1B1C1D1). In the figure, this height is shown by the segment C1H. In geometry, there are 2 types of parallelepipeds:

# Straight :

Find the height of a parallelepiped it is possible by the formula,

if you know him base area S and volume V :

# How to find a diagonal of a parallelepiped?

• Parallelepipeds can be straight or inclined. In order to find the height of the inclined parallelepiped, it is necessary to divide its volume by the area of ​​the base.

The formula for finding the height of the parallelepiped is as follows: h = V / S, where V is actually the volume, and S is the area of ​​the base of our figure.

The height of the straight parallelepiped is even easier, because it is equal to the length of any lateral face perpendicular to the base. This is easy to prove using the same h = V / S forum that we used earlier. We know that for a direct parallelepiped V = a * b * c, and S = a * b. Hence h = a * b * c / a * b = c. Hence: h = c.

• Наклонный параллелепипед параллелепипед, боковые грани которого расположены, относительно оснований, под углом, который считается непрямым.

A straight parallelepiped is a parallelepiped with an edge perpendicular to the plane of the base.

The height of the parallelepiped is determined by the formula: