Geometry Tool
Solid Geometry Reference
Comprehensive guide to 3D shapes, volumes, and surface area formulas.
Cube
VolumeV = a³
Surface AreaA = 6a²
Where 'a' is the edge length.
Rectangular Prism
VolumeV = lwh
Surface AreaA = 2(lw + lh + wh)
Length, Width, Height.
Sphere
VolumeV = 4/3 πr³
Surface AreaA = 4πr²
Where 'r' is the radius.
Cylinder
VolumeV = πr²h
Surface AreaA = 2πrh + 2πr²
Base radius 'r' and height 'h'.
Cone
VolumeV = 1/3 πr²h
Surface AreaA = πr(r + √(h² + r²))
Radius 'r' and height 'h'.
Square Pyramid
VolumeV = 1/3 a²h
Surface AreaA = a² + 2a√((a/2)² + h²)
Base side 'a' and height 'h'.
Torus (Donut)
VolumeV = 2π²Rr²
Surface AreaA = 4π²Rr
Major radius 'R' and minor radius 'r'.
Ellipsoid
VolumeV = 4/3 πabc
Surface AreaN/A (Approximation complex)
Radii 'a', 'b', and 'c'.
Pro Tip: For any right prism, Volume is simply the **Area of the Base** multiplied by the **Height**.
# About This Calculator
Solid Geometry is the study of three-dimensional shapes in Euclidean space.
This reference guide provides the essential formulas for calculating the **Volume** (space occupied) and **Surface Area** (total area of faces) for common solids.
Frequently Asked Questions
Is Solid Geometry Reference free to use?+
Yes, Solid Geometry Reference on Matheric is completely free to use. We believe in accessible education and utility for everyone.
How accurate is Solid Geometry Reference?+
We use standard mathematical formulas and high-precision computing algorithms to ensure results for Solid Geometry Reference are accurate for academic and professional use.
Can I use Solid Geometry Reference on my phone?+
Yes! Solid Geometry Reference is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.
Do you save my data?+
No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.
How do I report a bug?+
If you notice any issues with Solid Geometry Reference or have suggestions for improvement, please contact us via the link in the footer. We value your feedback!
Can I request a new feature?+
Absolutely. We are constantly expanding our toolset. Feel free to reach out with your requests, and we might build it next!