A platform has a volume of 135 cubic feet, but the concrete Joey wants to buy is sold by the cubic yard. How many cubic yards of concrete does Joey need to buy?
a yard is equal to 3 feet so you need to divide by 3 to the power of 3 because its cubic, so you need: 135 / 3^3 = 135 / 27 = 5 Joey needs to buy 5 cubic yards of concrete.
Because a yard is equal to 3 feet then you can imagine a cube made up of little cubes that are all 1 foot high/wide/ and deep. This cube will be three cubes high, three cubes wide and three cubes deep. It will have 27 or \[3^{3}\] little cubes in it. Now you know 1 cubic yard = 27 cubic feet. You have a ratio \[1 (yd)^{3}/27 (ft)^{3}\]. Then you can use this to convert \[135 (ft)^{3}\times1 (yd)^{3}/27 (ft)^{3}=5 (yd)^{3}\]
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