How to find the perimeter, circumference, area, and volume of two- and three-dimensional objects

Answer

Perimeter is the lengths of the sides of an object (such as a square, rectangle, triangle, or other polygon) added together. The answer is expressed in single units (inches, feet, yards, miles, centimeters, meters, or kilometers are some examples of units that may be used).

To get the perimeter for squares and rectangles, use the formula P=2l+2w, where l = length of the shape and w = width of the shape.
For polygons, add all the lengths of the sides.

Circumference is the distance around a circle. When the diameter is given, use the formula C= π * d. When the radius is given, use C=2π * r.

Area is the space inside a square, rectangle, circle, or a multi-sided plane.

The area of a square is A= side * side (since all the sides have the same length).
Rectangle is A= l * w (length * width).
Triangle is 1/2 * b * h (base * height).
Parallelogram is A = b * h (base x height).
Trapezoid is A = 1/2(a+b)h (a & b are the bases of the trapezoid and h is the height).
Circle is A = π * r² (r² is length of the radius multiplied by itself)

Volume is the measure of the amount of interior space of a solid and is measured in cubic units.

To get the area of a rectangular solid, use V = l * w *h (length * width * height).
A cube is V = s³
A cylinder is V = π * r² *h
A cone is V = 1/3 * π * r² * h
A pyramid is V = 1/3 * B * h (B is the area of the base x height)
A sphere is V = 4/3 * π * r³