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jeka94
3 years ago
13

A rectangular prism has a volume of 729 ft3. The length width and height are all the same. What is the is the length of each sid

e of the prism? ​
Mathematics
2 answers:
Yuri [45]3 years ago
6 0

Answer: g

Step-by-step explanation:vghghjhuvghch decrypt

swat323 years ago
3 0

Answer:

9 ft

Step-by-step explanation:

As length, width and height are same, then it is a square prism / cube

Volume of prism = 729 ft³

side³ = 729

side³ = 9³

Side = 9 ft

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It's <span>Diophantine equation. 
First, we need to found gcd(6,(-2)):</span>
6=2*3
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So, gcd(6,-2)=2
Now, the question is. Can we dived c=24, by gcd(6,-2) and in the end get integer?
Yes we can.
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So, we can solve it.

Now is the formula:
{\displaystyle {\begin{cases}x=x_{0}+n{\frac {b}{\gcd(a,\;b)}}\\y=y_{0}-n{\frac {a}{\gcd(a,\;b)}}\end{cases}}\quad n\in \mathbb {Z} .}

Second, we need the first pair (x0,y0) 
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then
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Third, we gonna use that formula:
{\displaystyle {\begin{cases}x=-n}\\y=-3(4+n)}\end{case}\quad n\in \mathbb {Z} .}
Congratulations! We solve it.


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Step-by-step explanation:

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