Area, perimeter, surface, volume of shapes (Geometry)
Published in
2 min readJan 5, 2019
Cheatsheets for calculating area, perimeter, surface, volume of common shapes.
Area of plane shapes
Triangle, square, rectangle, parallelogram, trapezoid, circle, ellipse, sector.
Areas:
- Area of Equilateral Triangles:
- Isosceles Right Triangle:
Surface Area
- Surface of Cylinder:
2π · r · (r + h)
- Surface of Sphere:
4π · r²
- Surface of Cone:
π · r( r + √(h²+r²) )
Volume of Cuboids, Rectangular Prisms and Cubes
Volume = Length · Width · Height
Volume of Cone, sphere, Cylinder
The volume of a Cylinder is: π · r² · h
The volume of a Cone is: 1/3 π · r² · h
The volume of the Sphere is:4/3 π · r³
Refer to math is fun: cone-sphere-cylinder
Volume, surface area of Pyramid
Refer to math is fun: pyramids
- The Volume of a Pyramid:
1/3 · [Base Area] · Height
- The Surface Area of a Pyramid:
- When all side faces are the same:
[Base Area] + 1/2 Perimeter · [Slant Length]
- When side faces are different:
[Base Area] + [Lateral Area]