Question

Pyramid A is a square pyramid with a base side length of 14 inches and a height of 6 inches. Pyramid B has a volume of 3,136 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percentage. Provide an explanation and proof for your answer to receive full credit.

Answer 1

\[v = \frac{ 1 }{ 3 } BH\]

Answer 2

i need the work for it though

Answer 3

I know that's why were going step by step

Answer 4

okay

Answer 5

So since b x h is the volume of the entire rectangular prism with the height h

\[v = \frac{ 1 }{ 3 } BH\]

Can you input the rest?

Answer 6

You need to find out how much larger the second one is to this smaller one. So, to do it into a percent, Divide the smaller one by the larger one and then multiply it by 100 to get it in percentage.

\[28\div 3136\]

Doing so will make it a decimal so if you multiply it by 100 (as you know) that makes it a percentage

Answer 7

i got 0.89285714285

Answer 8

\[0.89285714285\] Should be what you get

Volume of pyramid B is \[ 8\] times or \[12.5% \] bigger than pyramid A.

Answer 9

Tis not really exactly 1pecent of the volume so, It make's more sense because 28 is smaller than 3136

Answer 10

Asked & Answered here: https://questioncove.com/study#/updates/53c9961ae4b0bff525b153c3

Answer 11

volume of prism A\[=\frac{ 1 }{ 3 }\times base~ area \times height=\frac{ 1 }{ 3 }\times 14\times 14\times 6=392 ~\ inch^3\]
volume of pyramid B=3,136 cubic inch
\[\frac{ volume~of~pyramid~B }{ volume~of~pyramid~A }=\frac{ 3136 }{ 392}=8\]
so pyramid B is8 times larger in volume than volume of pyramid A