Surface Area of a Frustum Calculator

Enter the top radius, bottom radius, and slant height of a frustum to instantly get the lateral and total surface area.

Frustum Dimensions

cm
cm
cm

Formula Reference

Lateral Surface Area LSA = π(R+r)l
Top Circle Area A₁ = π · r²
Bottom Circle Area A₂ = π · R²
Total Surface Area TSA = LSA + A₁ + A₂

Enter the dimensions, then click Calculate Surface Area.

Frustum Diagram

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Summary

Enter the top radius, bottom radius, and slant height of a frustum to instantly get the lateral and total surface area.

How it works

  1. Enter the bottom (larger) radius of the frustum.
  2. Enter the top (smaller) radius of the frustum.
  3. Enter the slant height — the distance along the slanted side from edge to edge.
  4. Select your preferred unit (cm, m, in, or ft).
  5. The lateral surface area, both base areas, and total surface area are computed instantly.
  6. Use the Copy button to copy the total surface area to your clipboard.

Use cases

  • Calculate material needed to cover a conical lampshade or bucket.
  • Estimate sheet metal required for a tapered pipe or duct section.
  • Solve geometry homework on frustum surface areas.
  • Determine fabric or wrapping for cone-frustum packaging.
  • Compute heat-transfer surface for tapered industrial vessels.
  • Verify 3D model surface area during product design.
  • Calculate paint coverage for conical storage tanks.
  • Find the net area of a truncated cone for pattern-making.

Frequently Asked Questions

Last updated: 2026-06-13 · Reviewed by Nham Vu