The volume of a hexagonal prism is 12 in3. What is the height of the prism if the base area is 3 in3? 4 in 36 in 36 in 4 in
Hi Ricki, |dw:1333361088811:dw| so the hexagonal prism is shaped like a stop sign and the six-sided bottom or base has an area of 3 in2 (you said in3 but areas are only in in2 because an area is in two dimensions, and volume which takes up space, not flat, is 3 dimensions, so in3). for the volume of your prism, it is equal to [Volume=Area(base) x height]. You already know the area, which is 3 in2, and the Volume which is 12 in3. So take the Volume and divide it by the Area and you get 12/3 which is 4. The units will just be inches, since inches cubed (in3) divided by inches squared (in2) is just inches (3 - 2 = 1)
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