Math calculator
Surface Area Calculator
Surface area of a cube, box, sphere, cylinder, cone, or pyramid with steps.
Quick answer
How do you find surface area?
Add up the area of every face. A box 2 × 3 × 4 has SA = 2(2·3 + 2·4 + 3·4) = 52 square units. A cylinder with radius 3 and height 4 has SA = 2π(3²) + 2π(3)(4) = 42π ≈ 131.95.
Cube 6a² • Box 2(lw + lh + wh) • Sphere 4πr² • Cylinder 2πr² + 2πrh • Cone πr² + πr√(r² + h²) • Square pyramid b² + 2b√((b/2)² + h²)
⚡ Answer updates as you type · Enter = calculate · Esc = reset
- Formula: SA = 2πr² + 2πrh
- Values: radius = 3, height = 4
- Lateral area = 75.3982
- Base area = 28.2743
- Total surface area = 131.9469 square units
Find the total surface area of a cube, box, sphere, cylinder, cone, or square pyramid with the formula and steps.
About this Surface Area Calculator
The Surface Area Calculator finds the total outside area of common 3D shapes — cubes, rectangular boxes (prisms), spheres, cylinders, cones, and square pyramids. It shows the formula, the lateral and base areas, and each step so you can check homework or measure material like paint or wrapping.
What you'll need
- • Shape
- • Side, length/width/height, or radius and height
How it works
- 1. Pick the shape.
- 2. Enter its sizes in the same unit.
- 3. Read total, lateral, and base area.
- 4. Check the worked formula.
- 5. Answer is in square units.
Worked example
A sphere with radius 5: SA = 4π(5²) = 100π ≈ 314.16 square units.
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Surface Area Calculator FAQ
What is the Surface Area Calculator?
The Surface Area Calculator is a free online tool that helps you surface area of a cube, box, sphere, cylinder, cone, or pyramid with steps.
How do I use the Surface Area Calculator?
Open the Surface Area Calculator, enter the requested values, and review the instant estimate on the page.
Is the Surface Area Calculator free?
Yes. The Surface Area Calculator is free to use on Fast Online Calculator and does not require an account.
What is the difference between surface area and volume?
Surface area measures the outside covering in square units; volume measures the space inside in cubic units.
What is lateral surface area?
The area of the sides only, without the top and bottom bases. For a cylinder it is 2πrh.
What is the slant height of a cone?
The distance from the tip down the side to the edge of the base: √(r² + h²).
Do units need to match?
Yes. Use one unit for every size; the answer comes out in that unit squared.
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