Surface Area Calculator

What this tool does

Calculate surface area instantly in your browser. Total surface area counts every face including top and bottom; lateral area counts only the sides. Cone and pyramid slant heights are derived from the vertical height.

How to use the Surface Area Calculator

1. Enter or select shape.
2. Enter or select side (cube).
3. Enter or select length (cuboid).
4. Enter or select width (cuboid).
5. Enter or select height (cuboid).
6. Enter or select radius (sphere / hemisphere).
7. Enter or select radius (cylinder).
8. Enter or select height (cylinder).
9. Enter or select radius (cone).
10. Enter or select height (cone).
11. Enter or select base side (square pyramid).
12. Enter or select height (square pyramid).
13. Enter or select top radius (frustum).
14. Enter or select bottom radius (frustum).
15. Enter or select height (frustum).
16. Read the calculated result; change any measurement to compare alternatives.

Formula

Cube 6s²; cuboid 2(lw + lh + wh); sphere 4πr²; closed cylinder 2πr(r + h); cone πr(r + slant) with slant √(r² + h²); hemisphere 3πr² (including the flat base); square pyramid s² + 2s·slant; frustum π(R + r)·slant + πR² + πr².

shape

Shape

sSide

Side (cube)

sLength

Length (cuboid)

sWidth

Width (cuboid)

sCubH

Height (cuboid)

sRadius

Radius (sphere / hemisphere)

sCylR

Radius (cylinder)

sCylH

Height (cylinder)

sConeR

Radius (cone)

sConeH

Height (cone)

sPyrBase

Base side (square pyramid)

sPyrH

Height (square pyramid)

sTopR

Top radius (frustum)

sBotR

Bottom radius (frustum)

sFrustumH

Height (frustum)

Total surface area counts every face including top and bottom; lateral area counts only the sides. Cone and pyramid slant heights are derived from the vertical height.

Worked example

For surface area calculator, the following measurements illustrate the exact method: Shape: cylinder; Side (cube): 5; Length (cuboid): 10; Width (cuboid): 6; Height (cuboid): 4; Radius (sphere / hemisphere): 5; Radius (cylinder): 4; Height (cylinder): 10; Radius (cone): 4; Height (cone): 9; Base side (square pyramid): 6; Height (square pyramid): 8; Top radius (frustum): 3; Bottom radius (frustum): 5; Height (frustum): 7.

Results explained

Total surface area

Total surface area from the formula above. Total surface area counts every face including top and bottom; lateral area counts only the sides. Cone and pyramid slant heights are derived from the vertical height.

Lateral surface area (sides only)

Lateral surface area (sides only) from the formula above. Total surface area counts every face including top and bottom; lateral area counts only the sides. Cone and pyramid slant heights are derived from the vertical height.

Frequently asked questions