Sign In
Use the formula for the surface area of a pyramid.
56 square centimeters
A tea bag can be modeled by the following square pyramid with a base edge of s= 4 centimeters and a height of l= 5 centimeters.
We are asked to find the surface area of the pyramid, \textcolor{darkorange}{S_\text{tea bag}}. \begin{gathered} \textcolor{darkorange}{S_\text{tea bag}}=\textcolor{darkviolet}{B}+\dfrac{1}{2}{\color{#FF0000}{P}}{\color{#009600}{\ell}} \end{gathered} Here, B stands for the area of the base. Since the base is a square with a side length of s=4 centimeters, the area of the base is B=4^2=16 square centimeters. The variable P is the perimeter of the base. This tells us that P=4* 4= 16 centimeters. Now, let's substitute the values into the formula for \textcolor{darkorange}{S_\text{tea bag}}.
Substitute values
Multiply
1/b* a = a/b
Calculate quotient
Add terms
Therefore, the surface area of the tea bag is 56 square centimeters.