Area, perimeter, surface, volume of shapes (Geometry)

Cheatsheets for calculating area, perimeter, surface, volume of common shapes.

Area of plane shapes

Triangle, square, rectangle, parallelogram, trapezoid, circle, ellipse, sector.

Refer to math is fun: area

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]