The Surface Area Calculator finds the total surface area of a sphere, cone, cube, cylinder, rectangular tank, capsule and square pyramid.
Surface area = 12.5664 square feet
| Square feet | 12.5664 |
| Square meters | 1.167454 |
| Square inches | 1,809.56 |
| Square centimeters | 11,674.54 |
SA = πr² + πr√(r² + h²)
Surface area = 10.1664 square feet
| Square feet | 10.1664 |
| Square meters | 0.94449 |
| Square inches | 1,463.96 |
| Square centimeters | 9,444.9 |
SA = 6a²
Surface area = 6 square feet
| Square feet | 6 |
| Square meters | 0.557418 |
| Square inches | 864 |
| Square centimeters | 5,574.18 |
SA = 2πr² + 2πrh
Surface area = 18.8496 square feet
| Square feet | 18.8496 |
| Square meters | 1.751181 |
| Square inches | 2,714.34 |
| Square centimeters | 17,511.81 |
SA = 2(lw + lh + wh)
Surface area = 10 square feet
| Square feet | 10 |
| Square meters | 0.92903 |
| Square inches | 1,440 |
| Square centimeters | 9,290.3 |
SA = 2πr(2r + h)
Surface area = 25.1327 square feet
| Square feet | 25.1327 |
| Square meters | 2.334908 |
| Square inches | 3,619.11 |
| Square centimeters | 23,349.08 |
SA = a² + 2a√(a²/4 + h²)
Surface area = 5.1231 square feet
| Square feet | 5.1231 |
| Square meters | 0.475952 |
| Square inches | 737.73 |
| Square centimeters | 4,759.52 |
Surface area is the total area of all the faces or curved surfaces of a 3D object. It tells you how much paint, wrapping, sheet metal or insulation is needed to cover something, and it matters in science because heat and chemical reactions happen at surfaces.
Sphere: 4πr². Cone: πr² + πr√(r² + h²). Cube: 6a². Cylinder: 2πr² + 2πrh. Rectangular box: 2(lw + lh + wh). Capsule: 2πr(2r + h). Square pyramid: a² + 2a√(a²/4 + h²).
Worked example: a sphere of radius 1 ft has a surface area of 4π ≈ 12.566 sq ft.
Small objects have more surface per unit volume than large ones. That is why crushed ice melts faster than a block, small animals lose heat faster and cells are tiny.
Does the cylinder include the ends? Yes, total surface area includes both circles.
What is lateral area? Surface area without the bases.
Can I mix units? Yes, each dimension has its own unit.