Question

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.

Answer 1

Approximately 17 bags.

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 =
`(1)/(3)` feet

volume of the portion to be covered = area x depth

= 100 x
`(1)/(3)`

= 33
`(1)/(3)` cubic feet

The volume of the portion to be covered is 33
`(1)/(3)` cubic feet.

The number of bags of mulch needed =
`(33(1)/(3) )/(2)`

= 16
`(2)/(3)`

= 16.6667

The number of bags of mulch needed is 17.