A **rectangular prism** is 1) a polyhedron with rectangular faces, 2) a parallelepiped with mutually perpendicular intersecting edges at a common vertex, or 3) a right prism with rectangular bases.

The opposite faces of a rectangular prism are parallel.

## Surface Area of a Rectangular Prism

where,

a,b,c— lengths of the sides of the rectangular prism.

## Volume of a Rectangular Prism

1. **through three edges:**

$$V=a\times b \times c,$$

a,b,c— lengths of the sides of the rectangular prism.

2. **through the base area and height:**

S_{p}— area of the base of the rectangular prism.

h— height of the rectangular prism.

## Diagonal of a Rectangular Prism

The diagonal of a rectangular prism is a line segment connecting two non-adjacent vertices that are not in the same face.

$$d=\sqrt{a^{2} + b^{2} + c^{2}}$$