Seventeen, 3-inch thick bags of mulch should be used to cover 100 square feet at a depth of four inches.
Inches and meters are the units to measure the length or the depth of the objects.
Given,
The length of the bag of mulch = 3.2 ft
The width of the bag of mulch = 2.5 ft
The thickness of the bag of mulch = 0.25 ft
The volume of the mulch bag is calculated as:
[tex]\begin{aligned} \rm volume &= \rm length \times width \times thickness\\\\&= 3.2 \times 2.5 \times 0.25\\\\&= 2 \;\rm cubic \; feet\end{aligned}[/tex]
Given,
The area to be covered = 100 square feet
The depth of the area = [tex]\dfrac{1}{3}[/tex] feet
The volume of the portion needed to be covered is calculated as:
[tex]\begin{aligned} \rm Volume &= \rm area \times depth\\\\&= 100 \times \dfrac{1}{3}\\\\&= 33 \; \dfrac{1}{3} \;\rm cubic \; feet\end{aligned}[/tex]
The number of bags is calculated as:
[tex]\dfrac{ 33 \; \frac{1}{3} }{2} = 16.66[/tex]
Therefore, 17 bags are needed.
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