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anonymous
 one year ago
The volume of a cube is 48 cubic feet. What is the volume of a pyramid that fits exactly inside the cube? Provide an explanation and proof for your answer to receive full credit.
anonymous
 one year ago
The volume of a cube is 48 cubic feet. What is the volume of a pyramid that fits exactly inside the cube? Provide an explanation and proof for your answer to receive full credit.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The volume of the cone is 1/3 the volume of the cube. I divide 48 by 3 and i get 16. The volume of a pyramid is 1/3 Bh, where B is the area of the base and h is the height. The volume of a cube is a^3 where a is the side of the cube. If a pyramid fits in a cube with side "a", then the base is a square, with sides a by a, and the height is also a.When you find the volume of this pyramid using the formula, you get: V = 1/3 Bh = 1/3 (a * a) * a = 1/3 a^3, which is 1/3 the volume of the cube which was a^3.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@is3535 this is what i got but idk if i right at all im not very good at these questions

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@M4thM1nd thank you! can u help me with another

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Pyramid A is a square pyramid with a base side length of 18 inches and a height of 9 inches. Pyramid B has a volume of 3136 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.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, we know the equation for the pyramid volume, which is: \[V = \frac{1}{3}A_{base}h\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What is the \(A_{base}\) of pyramid A?

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.0your answer is good \[V_{pyramid}=\frac{1}{3}a^3=\frac{1}{3}V_{cube}\]

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.0you reasoning is just perfect :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you! @xapproachesinfinity one sec @M4thM1nd im going to try this on my own then ppst what i got is that okay??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0umm so this is what i got so far I got the volume of Pyramid A: Pyramid A's volume is 972 because V = Base side length^2 x h/3 V = 18^2 x 9/3 = 972.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so then do i divide the smaller number by the larger number then multiply that by 100 and round if needed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now, we know the volume of pyramid B, 3136 in^3, what is the percentage difference?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0then i get 972/3136 = 0.30994898 x 100 = 30.99. So would it be 31% or 30%?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you sooo much!!! i have a few more let me finish typing out this questions answer in my quize then ill post another if you can still help me?!?!
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