Polyhedron Surface Area Calculator
Surface Area of Polyhedra Table
| Polyhedron | Formula for Surface Area | Example Dimensions | Surface Area Calculation | Surface Area Result |
|---|---|---|---|---|
| Cube | SA=6a2SA = 6a^2SA=6a2 | Side length a=5a = 5a=5 | SA=6×52=6×25SA = 6 \times 5^2 = 6 \times 25SA=6×52=6×25 | 150 sq units150 \, \text{sq units}150sq units |
| Rectangular Prism | SA=2(lw+lh+wh)SA = 2(lw + lh + wh)SA=2(lw+lh+wh) | Length l=4,w=3,h=2l = 4, w = 3, h = 2l=4,w=3,h=2 | SA=2(4×3+4×2+3×2)SA = 2(4 \times 3 + 4 \times 2 + 3 \times 2)SA=2(4×3+4×2+3×2) | 52 sq units52 \, \text{sq units}52sq units |
| Sphere | SA=4πr2SA = 4\pi r^2SA=4πr2 | Radius r=3r = 3r=3 | SA=4π×32=4π×9SA = 4\pi \times 3^2 = 4\pi \times 9SA=4π×32=4π×9 | 113.10 sq units113.10 \, \text{sq units}113.10sq units |
| Cylinder | SA=2πr(h+r)SA = 2\pi r(h + r)SA=2πr(h+r) | Radius r=3,h=5r = 3, h = 5r=3,h=5 | SA=2π×3(5+3)=2π×24SA = 2\pi \times 3(5 + 3) = 2\pi \times 24SA=2π×3(5+3)=2π×24 | 150.80 sq units150.80 \, \text{sq units}150.80sq units |
| Cone | SA=πr(l+r)SA = \pi r(l + r)SA=πr(l+r) | Radius r=3,h=4r = 3, h = 4r=3,h=4 | Slant height l=r2+h2=32+42=5l = \sqrt{r^2 + h^2} = \sqrt{3^2 + 4^2} = 5l=r2+h2=32+42=5 SA=π×3(5+3)SA = \pi \times 3(5 + 3)SA=π×3(5+3) | 25.13 sq units25.13 \, \text{sq units}25.13sq units |