A retangular prism has a volume of 7,168 cm^3. It's base has an area of 512 cm^2. what is it's height?
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To find the height of the rectangular prism, we can use the formula for volume. The volume of a rectangular prism is given by the formula:
Volume = Base Area × Height
In this case, we are given that the volume of the prism is 7,168 cm^3 and the base area is 512 cm^2. We can plug in these values into the formula and solve for the height.
7,168 cm^3 = 512 cm^2 × Height
To find the height, divide both sides of the equation by 512 cm^2:
Height = 7,168 cm^3 ÷ 512 cm^2
Now we can calculate the height:
Height = 14 cm
Therefore, the height of the rectangular prism is 14 cm.