Prism Volume Calculator

    Calculate prism volume, base area, lateral area, and surface area from perpendicular height and triangular, square, rectangular, regular-polygon, or custom base data.

    Base area workflow
    Volume comes from base area and perpendicular height. Surface area is shown when the right prism base perimeter is known.
    height
    Height is the perpendicular distance between bases, not necessarily an oblique side edge.

    Prism volume from base area and perpendicular height

    English SERP competitors usually frame prisms by base area times perpendicular height, then add triangular prism and regular-prism cases. This tool keeps base shape selection visible and includes a custom base-area mode for textbook and construction-style inputs.

    B is base area and h is perpendicular height.

    P is base perimeter for a right prism.

    Supported base inputs

    Base modeWhat to enter
    Triangular prismThree side lengths of the triangular base.
    Square or rectangular prismSide length, or length and width.
    Regular polygon prismNumber of sides and side length.
    Custom baseKnown base area and perimeter in the selected units.

    Frequently Asked Questions

    Sources and References

    Calculations are based on the listed reference sources. Links open in a new tab.

    Updated:

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