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!

About

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.

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