You are asked to buy bags of cement to pour a cement pad for a hot tub. you need to fill the pad frame which is a square frame measuring 8 feet long and 1 foot high. each bag of cement mixed will fill 5 cubic feet in the frame. how many bags will you need to buy to ensure enough to fill the entire frame

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14-04-2018
Mathematics

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You are asked to buy bags of cement to pour a cement pad for a hot tub. you need to fill the pad frame which is a square frame measuring 8 feet long and 1 foot high. each bag of cement mixed will fill 5 cubic feet in the frame. how many bags will you need to buy to ensure enough to fill the entire frame

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kyurem1 kyurem1 · Answer 1 · 2018-04-14T22:48:27+02:00

The volume of a rectangular prism (which the frame is, having a square base with height) is given by [tex]V=lwh[/tex], where l is length, w is width, and h is height. Since the width of a square is equivalent to its length, the square's dimensions will be 8 feet by 8 feet. So the volume of the frame is [tex]V=8ft*8ft*1ft=64ft^{3}[/tex].
We need to know how many [tex]5ft^{3}[/tex] bags fit in a [tex]64ft^{3}[/tex] frame, so we can divide 64 by 5 to find how many times 5 fits in 64: [tex]\frac{64}{5}=12.8[/tex]. You can't buy 8 tenths of a bag, so you'll need to buy 13 bags to ensure that you have enough cement to fill the entire frame.