Pyramid A is a square pyramid with a base side length of 9 inches and a height of 10 inches. Pyramid B has a volume of 1350 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? Give the answer as a percent. Provide an explanation and proof for the answer.

Question

imstuck · Answer

to do this you have to find the volume of pyramid A.  Get this value by multiplying the length times the width times the height and divide that result by 3.  Like this:

imstuck · Answer

|dw:1405997135803:dw|

imstuck · Answer

To find how many times larger the volume is for pyramid B, divide pyramid B's volume by pyramid A's volume:$$\frac{ 1350 }{ 270 }=5$$

imstuck · Answer

percents though, huh?  let me think on that for a sec.

anonymous · Answer

Wow, so thats all it is? I forgot that it was a square pyramid, making all sides 9. Also, I have had the problem with percents before when some different question asked me a whole number as a percent. I could never figure it out.

imstuck · Answer

Well if you divide the 270 by 1350 and then multiply by 100 you get 20%...

imstuck · Answer

But that still doesn't seem right.  Give me a bit...

anonymous · Answer

Thank you for the help you are doing! It is clearing it up for me a lot by the way.

imstuck · Answer

It is 400% larger.  The math for that is (converting 400 to decimals is 4.0) so 4.0*270+270=1350.  In words that means that 400% of 270 plus 270 = 1350

imstuck · Answer

That's what I get!

anonymous · Answer

Hm, I suppose I see what you are saying. It equals the volume of Pyramid B. I believe it looks correct from you showing the work. Thank you for that. It really helped me understand being completely honest, also because of the picture (I am a visual learner). Do you mind helping me with a couple more possibly? I do not want to take up your time, its completely fine if you can't! :)