Volume and Surface Area
Table of Content:
Volume and Surface Area
Here are the formulas for area, volume, and surface area of each of the objects:
Rectangles:
Area: \begin{equation} A = lw \end{equation}where l is the length and w is the width.
Squares:
Area: \begin{equation} A = s^2 \end{equation}where s is the length of one side.
Parallelograms:
Area: \begin{equation} A = bh \end{equation}where b is the base and h is the height.
Rhombus:
Area: \begin{equation} A = d_1d_2\frac{sin(\theta)}{2} \end{equation}where \( d_1 \) and \(d_2 \) are the lengths of the diagonals and \(\theta \) is the angle between them.
Triangles:
Area: \begin{equation} A = \frac{1}{2}bh \end{equation} where b
is the base and h
is the height.
Circles:
Area: \begin{equation} A = \pi r^2 \end{equation}where r is the radius.
Cylinders:
Volume: \begin{equation} V = \pi r^2 h \end{equation} Surface Area: \begin{equation} SA = 2\pi rh + 2\pi r^2 \end{equation}where r is the radius and h is the height.
Cones:
Volume: \begin{equation} V = \frac{1}{3}\pi r^2 h \end{equation} Surface Area: \begin{equation} SA = \pi r^2 + \pi r\sqrt{r^2 + h^2} \end{equation}where r is the radius and h is the height.