Sam stores manure for his farm in a rectangular box. The length of the box is 7 feet, width is 9 inches, and height is 6 inches. Each bag of manure he bought contains 2.625 cubic feet of manure. How many bags of manure will fill the box completely?
Accepted Solution
A:
The answer is 1 bag.
length of the box is = 7 feet width is = 9 inches and height is = 6 inches Each bag of manure he bought contains = 2.625 cubic feet of manure The volume (V) of the rectangular box is: V = l × w × h where l is length, w is width and h is height Now you see that the unit of volume is cubic feet, first convert width and height into feet which are in inches width = 9 inches = 0.75 feet height = 6 inches = 0.5 feet Now, V = l x w x h =7 x 0.75 x 0.5 = 2.625 Now Each bag of manure he bought contains 2.625 cubic feet of manure which is equal to the volume of box. Thus, the answer is only 1 bag will fill the box completely.