Question

10 p Mary wants to make several cans like the one below. She is going to cut them from a sheet of metal that has an area of 3.750 inches squared. How many can she make? Use 3.14 for pl.

Answer 1

We need to calculate the lateral area of the cans, so:

$\text{Lateral area=}\pi\cdot6in\cdot5in\approx94.2in^2$

Each can has an area of 94.2 inches squared.

We only know the area of the sheet, so we can calculate the total cans as:

$\begin{gathered} \text{Sheet area = 3750 in}^2 \\ Total\text{ cans=}\frac{Sheet\text{ area}}{Lateral\text{ area}}=\frac{3750}{94.2}=39.8\Rightarrow Total\text{ cans = 39} \end{gathered}$

The total cans is 39.