The figure in the question is a box with dimensions of 6 in. by 2 in. by 9 in., which gives;
- Surface area of the packaging = 168 in.²
- Package volume = 108 in.³
- Cost of packaging = $0.672
<h3>Which method can be used to provide the packaging estimates for the company?</h3>
The dimensions of the box in the given figure are;
Length, <em>L</em> = 9 in.
Width, <em>W</em> = 2 in.
Height, <em>H</em> = 6 in.
The surface area, <em>A</em>, of a box is found using the following formula;
A = 2•L•W + 2•L•H + 2•H•W
Therefore;
A = 2×9×2 + 2×9×6 + 2×2×6 = 168
- The surface area of the figure, <em>A </em>= 168 in.²
The volume of a box, <em>V</em>, is calculated as follows;
For the given figure, therefore;
V = 9 × 2 × 6 = 108
- The volume of the given figure, <em>V </em>= 108 in.³
Cost of packaging per square inch, <em>c</em><em> </em>= $0.004
Cost to package the figure, <em>C</em>, is therefore;
Which gives;
C = $0.004/in.² × 168 in.² = $0.672
- Packaging cost, <em>C </em>= $0.672
Learn more about working with formulas in mathematics here:
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