Question

A candy company has decided to sell candy in a new package that is shaped like a triangular prism in order to calculate the volume of the package, the area of the base must be determined.If the base of the package is equilateral triangle with sides 10 centimeters (cm) long, what is the area of the base?

Answer 1

Using the formula for the area of the equilateral triangle, we have:

`\begin{gathered} A=\frac{\sqrt[]{3}}{4}a^2 \\ A=\frac{\sqrt[]{3}}{4}(10)^2cm^2\text{ (Replacing)} \\ A=\frac{\sqrt[]{3}}{4}(100)^{}cm^2\text{ (Raising 10 to the power of 2)} \\ A=25\sqrt[]{3}\text{ }cm^2\text{(Dividing 100 by 4}) \\ A=43.3\text{ }cm^2\text{ (Multiplying 25 by }\sqrt[]{3}) \\ \text{The answer is 43.3 cm}^2 \end{gathered}`