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Example Question #314 : Geometry
A rectangular prism has a width of 3 units, a length that is twice the width, and a height that is two-thirds the length. What is the volume of the prism?
Remember, the formula for the volume of a rectangular prism is width times height times length:
Now, let's solve the word problem for each of these values. We know that . If length is double the width, then the length must be 6 units. If the height is two-thirds the length, then the height must be 4:
Multiply all three values together to solve for the volume:
The volume of the rectangular prism is units cubed.