SOLUTION: Please help with this question: A pyramid has a rectangular base. Suppose that the edges of the base and the height of the pyramid are all doubled in length. What happens to the v

Question 467008: Please help with this question:
A pyramid has a rectangular base. Suppose that the edges of the base and the height of the pyramid are all doubled in length. What happens to the volume?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Start with the formula for the volume of a rectangular pyramid:
Where B = area of the base of the pyramid (L*W) and h = its perpendicular height.
Let's say that the area of the base of the original pyramid is given by and its height is . Its volume is then:

Now we'll double the three dimensions to , , and and find the new volume:
Simplifying this we get:

As you can see, the new volume is 8 times the original volume.
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