MATHS QUERY
Surface Area and Volume Formulas of 3-D Shapes
TOC
Surface area formulas of 3-D shapes
| Polygon | Surface Area |
|---|---|
| Cylinder | \(2 \pi r h\) |
| Cone | \(\pi r l\) |
| Sphere | \(4 \pi r^2\) |
| Hemisphere | \(2 \pi r^2\) |
Total surface area formulas of 3-D shapes
| Polygon | Total Surface Area |
|---|---|
| Cuboid | \(2(l b + b h + h l)\) |
| Cube | \(6 (l)^2\) |
| Cylinder | \(2 \pi r(r + h)\) |
| Cone | \(\pi r(l + r)\) |
| Sphere | NA |
| Hemisphere | \(3 \pi r^2\) |
NA \(\implies\) not applicable
Volume formulas of 3-D shapes
| Polygon | Volume |
|---|---|
| Cuboid | \(l \times b \times h\) |
| Cube | \((l)^3\) |
| Cylinder | \(\pi r^2 h\) |
| Cone | \(\frac{1}{3} \pi r^2 h\) |
| Sphere | \(\frac{4}{3} \pi r^3\) |
| Hemisphere | \(\frac{2}{3} \pi r^3\) |