Solid Geometry Calculator
Choose a 3D shape, enter its dimensions, and get volume, total surface area, lateral area, and base area. All formulas are shown so you can verify the results or add them to your assignment.
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.