Maths & numbers

Rectangular pyramid calculator

Calculate a centred right pyramid’s volume, side areas and edge length.

Rectangular pyramid calculator
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A clear answer. Here’s how.

The apex is directly above the centre of a rectangular base. Volume = length × width × height/3. Each pair of side faces uses slant height √[h²+(opposite base dimension/2)²]. Adds the rectangular base for closed total surface area. This does not model an oblique or truncated pyramid.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

Rectangular base length
8
Rectangular base width
6
Perpendicular apex height
4

Example result

Volume
64
Base area
48
Slant height of faces along base length
5
Slant height of faces along base width
5.65685424949
Lateral surface area
73.941125497
Closed total area
121.941125497
Apex-to-corner edge length
6.40312423743