Right Rectangular Pyramid
Find volume and surface of a pyramid centred over a rectangular base.
Your numbers
Physical volume
Use consistent units. The result follows the assumptions you enter.
Scenario comparison
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Formula
Use V = lwh/3 and S = lw+l√(h²+(w/2)²)+w√(h²+(l/2)²). l and w are rectangular base dimensions and h is perpendicular height, all in the same unit. S includes the base.
Find volume and surface of a pyramid centred over a rectangular base.
Worked example
- Base length (m)
- 6
- Base width (m)
- 6
- Height (m)
- 4
- Physical volume
- 48 m³
- Surface area
- 96 m²
Scope and limitations
Use consistent units. The result follows the assumptions you enter.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: 2c6b35fb30e3 · Example checked: