FAN AND MEDAL AS WELL AS TESTIMONY

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 1,350 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percent. Provide an explanation and proof for your answer to receive full credit.

Question

FAN AND MEDAL AS WELL AS TESTIMONY


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 1,350 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percent. Provide an explanation and proof for your answer to receive full credit.

prince1342 · Answer

@563blackghost I really need help understanding this

anonymous · Answer

first we need to know what the formula for area of a pyramid is....
then we plug in the values that we can from pyramid A and solve

prince1342 · Answer

V=lwh
3

anonymous · Answer

ok so we know that the base is a square and all sides of a square are equal right

prince1342 · Answer

Yea

anonymous · Answer

so we plug in our values into the formula and this is what i got
i used an algebraic calculator online

prince1342 · Answer

We have the length and height but what about the width?

anonymous · Answer

A ≈ 305.91

anonymous · Answer

the base is a square so length and width are the same

anonymous · Answer

and what i found was the surface area

anonymous · Answer

the volume equals 300 so.......

prince1342 · Answer

Im a little confused as to how you did the plugging in without the width

anonymous · Answer

the base is a square right?

prince1342 · Answer

Because I multiplied 9 and 10 only to get 90 which divided by 3 and boom, I got 30

prince1342 · Answer

yes

anonymous · Answer

all sides of a square are congruent right?

anonymous · Answer

so.............

prince1342 · Answer

Indeed!

prince1342 · Answer

That makes more sense now

anonymous · Answer

if the length is 10 and we are looking for the width then it is.........

prince1342 · Answer

10 as well

anonymous · Answer

yes

prince1342 · Answer

Ohhh I see how you got 300 now

anonymous · Answer

ok so now we have to find out how much larger pyramid B is from pyramid A

prince1342 · Answer

By subtraction! 1050

anonymous · Answer

we have to place it as a percentage

prince1342 · Answer

How come? It doesn't say

anonymous · Answer

pyramid B is 1350
pyramid A is 300
read the last few lines of the question

anonymous · Answer

it says
Give your answer as a percent. Provide an explanation and proof for your answer to receive full credit.

prince1342 · Answer

105000%

anonymous · Answer

no 1350/300 comes out as 9/2 which simplifies to 4.5

prince1342 · Answer

Oh okay! Thank you so much! Is it alright if I tag you in 2 more questions that I need aid in?

anonymous · Answer

sure

563blackghost · Answer

@Prince1342 sorry i wasnt on if i was I would have helped :(

prince1342 · Answer

That's alright!