How to Calculate Solid Geometry
What is Solid Geometry?
Solid geometry (3D geometry) calculates volume, surface area, and other properties of three-dimensional shapes: spheres, cylinders, cones, cuboids, and pyramids.
Formula
- V
- lwh; SA = 2(lw+lh+wh) — lwh; SA = 2(lw+lh+wh)
- SA
- 2(lw+lh+wh) — 2(lw+lh+wh)
Step-by-Step Guide
- 1Sphere: V = (4/3)πr³; SA = 4πr²
- 2Cylinder: V = πr²h; SA = 2πr(r+h)
- 3Cone: V = (1/3)πr²h; SA = πr(r+l) where l = slant height
- 4Cuboid: V = lwh; SA = 2(lw+lh+wh)
Worked Examples
Frequently Asked Questions
What is Solid Geometry?
Solid geometry (3D geometry) calculates volume, surface area, and other properties of three-dimensional shapes: spheres, cylinders, cones, cuboids, and pyramids. Use this calculator for accurate, instant results.
How accurate is the Solid Geometry calculator?
The calculator uses the standard published formula for solid geometry. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.
What units does the Solid Geometry calculator use?
This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.
What formula does the Solid Geometry calculator use?
The core formula is: Sphere: V = (4/3)πr³; SA = 4πr². Each step in the calculation is shown so you can verify the result manually.