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How many 3-inch thick bags of mulch should Noemi buy to cover 100 square feet at a depth of 4 inches? The length is 3.2ft and the width is 2.5ft.

Sagot :

Answer:

Approximately 17 bags.

Step-by-step explanation:

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 = 3 inch = 0.25 ft

Volume of a bag of mulch = length x width x thickness

                                          = 3.2 x 2.5 x 0.25

                                          = 2 cubic feet

So that, the volume of a bag of mulch is 2 cubic feet.

The area to be covered = 100 square feet

The depth of the area = 4 inches = [tex]\frac{1}{3}[/tex] feet

volume of the portion to be covered = area x depth

                                                = 100 x [tex]\frac{1}{3}[/tex]

                                                = 33 [tex]\frac{1}{3}[/tex] cubic feet

The volume of the portion to be covered is 33 [tex]\frac{1}{3}[/tex] cubic feet.

The number of bags of mulch needed = [tex]\frac{33\frac{1}{3} }{2}[/tex]

                                                       = 16[tex]\frac{2}{3}[/tex]

                                                   = 16.6667

The number of bags of mulch needed is 17.