Chapter 12.5, Problem 4CYU

To determine

The amount of cardboard needed to make a box for a single slice of pizza.

  

Answer to Problem 4CYU

The amount of cardboard needed to make a box for a single slice of pizza is $116i{n}^2$ .

Explanation of Solution

Given:

  

Concept Used:

Formula of

Triangle: $\frac{h_{b}b}{2}$

Rectangles: $w\times l$

Surface Area: $2\times length\times breadth\times height$

Calculation:

  

Traingles:

  $\begin{array}{l}A1=\left(\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.\right)\times \left(7\right)\times \left(12\right)\\ A1=42i{n}^2\end{array}$

Rectangles:

  $\begin{array}{l}A2=\left(1\right)\times \left(12.5\right)\\ A2=12.5i{n}^2\\ A3=\left(1\right)\times \left(7\right)\\ A3=7i{n}^2\end{array}$

Surface Area:

  $\begin{array}{l}A=2A1+2A2+A3\\ A=2\left(42\right)+2\left(12.5\right)+\left(7\right)\\ A=84+25+7\\ A=116i{n}^2\end{array}$

Conclusion:

Hence, the amount of cardboard needed to make a box for a single slice of pizza is $116i{n}^2$ .