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
$$S_{t}=2(ab+bc+ac),$$
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:
$$V=S_{p} \times h,$$
Sp— 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.
$$d=\sqrt{a^{2} + b^{2} + c^{2}}$$
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