Solid Geometry Calculator
Free solid geometry calculator for 3D shapes. Calculate volume, total surface area, lateral surface, and base area for cube, rectangular prism, sphere, cylinder, cone, pyramid, triangular prism, torus and more. Includes formulas and explanations.
Full original guide (expanded)
Solid Geometry Calculator
Choose a 3D shape and get volume, total surface area, lateral area, and base area with formulas shown.
Units: enter any unit (cm, m, in, ft). Output will be in that unit (e.g. cm², cm³).
Formulas used
Select a shape to see its formulas.
How to use this solid geometry calculator
- Pick the 3D shape that matches your problem.
- Enter the dimensions requested (radius, height, length, etc.).
- Click Calculate and we’ll compute volume, surface area, and related measures.
- Copy the formula + result into your homework, report, or engineering notes.
Compared to many competitor pages, this one puts several shapes on the same page, so you don’t have to switch tools.
FAQs
What is lateral surface area?
It’s the area of the sides only, without top/bottom. For cylinders it’s 2πrh, for cones it’s πrℓ, for prisms it’s perimeter × height.
Why do I need base area?
Base area is useful to check bearing pressure, to compare with floor area, or to feed into other compound volume calculations.
Why is the torus here?
It’s less common in school, but it’s handy in 3D modeling and some engineering contexts. Volume = 2π²Rr², surface area = 4π²Rr.
Formula (LaTeX) + variables + units
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- No variables provided in audit spec.
- NIST — Weights and measures — nist.gov · Accessed 2026-01-19
https://www.nist.gov/pml/weights-and-measures - FTC — Consumer advice — consumer.ftc.gov · Accessed 2026-01-19
https://consumer.ftc.gov/
Last code update: 2026-01-19
- Initial audit spec draft generated from HTML extraction (review required).
- Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
- Confirm sources are authoritative and relevant to the calculator methodology.