the packing crate below is 3 feet long and 2 1/4 feet wide. It is filled completely with 648 boxes that measure 1/4 foot on each side. What is the height, in feet, of the packing crate?
+9466 the volume of one box = (1/4) * (1/4) * (1/4) = 1/64 cubic feet
the volume of all the boxes together = 648 * 1/64 = 10.125 cubic feet
the volume of the crate = the volume of all the boxes together
the volume of the crate = 10.125 cubic feet
the volume of the crate = 3 * 2.25 * height
10.125 = 3 * 2.25 * height
10.125 = 6.75 * height
10.125/6.75 = height
1.5 = height
height = 1.5 feet
+9466 the volume of one box = (1/4) * (1/4) * (1/4) = 1/64 cubic feet
the volume of all the boxes together = 648 * 1/64 = 10.125 cubic feet
the volume of the crate = the volume of all the boxes together
the volume of the crate = 10.125 cubic feet
the volume of the crate = 3 * 2.25 * height
10.125 = 3 * 2.25 * height
10.125 = 6.75 * height
10.125/6.75 = height
1.5 = height
height = 1.5 feet
