2-dimensional geometric shape formulas
| Shape | Perimeter | Area | Comments |
|---|---|---|---|
| Square | 4 x s | s2 | s = side length |
| Rectangle | 2 x l + 2 x w | l x w | l = length and w = width |
| Equilateral Triangle | 3 x s | ½ s x h | s = side and h = height |
| Isosceles Triangle | 2 x s + b | ½ s x h | s = side and h = height and b = base |
| Circle | 2πr or πd | πr2 | r = radius and d = diameter |
| Kite | 2 x ss + 2 x ls | d1 x d2 | ss = short side length and ls = long side length and d = diagonal length |
| Parallelogram | 2 x l + 2 x w | l x w | l = length and w = width |
| Trapezoid | b1 + b2 + s1 + s2 | a x ½(b1 + b2) | b = base and a = altitude |
| Pentagon | 5 x s | ¼(a x s) | a = apothem and s = side |
| Hexagon | 6 x s | ½(3√3s2) | s = side |
| Rhombus | 4 x s | ½ d1d2 | s = side length, d1 and d2 = diagonal length |
3-dimensional geometric shape formulas
| Shape | Lateral Area | Surface Area | Volume | Comments |
|---|---|---|---|---|
| Cube | 4 x s2 | 6 x s2 | s3 | s = side length |
| Rectangular Solid | H(2L x 2W) | L x W + L x H + W x H | L x W x H | L = length, W = width, H = height |
| Cylinder | 2πrh | 2πr2h + 2πrh | πr2h | r = radius and h = height |
| Pyramid | ½Base Perimeter x Slant Height | Base Area x Lateral Area | 1/3 Area of the Base x Height | r = radius and h = height |
| Sphere | N/A | 4πr2 | 4πr3 ------ 3 | r = radius |
| Cone | πrl | πr2 + πrl | 1/3πr2h | r = radius and h = height and l = slant height |
