The result is 3600 cubed, which is what was originally determined.
Answer:
The upper limit for the height of the prism is 
Step-by-step explanation:
Let
x------> represent the height of the prism
It is known that
the area of the base of the prism must not exceed


thus
-------> inequality A
------> equation B
-----> equation C
Insert equation B into equation C

------> equation D
Substituting equations B and D into inequality A
-------> using a graphing tool to solve the inequality
The resultant solution for x lies in the interval---------->![[0,12]](https://tex.z-dn.net/?f=%5B0%2C12%5D)
consult the attached figure
but bear in mind that
The width of the base must be
meters shorter than the height of the prism
thus
the solution for x is confined to the interval ------> ![(9,12]](https://tex.z-dn.net/?f=%289%2C12%5D)
The maximum height of the prism equals 
Answer:
The median value is 47.
Step-by-step explanation:
First, organize the numbers in ascending order.
The median's position is calculated as ((N+1)÷2)th term, where N is the amount of data.
= 6÷2 th term
= 3 rd term
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Response:
Detailed explanation:
The length of the pool is longer than its width by 8 meters.
If we designate L as length and W as width, we can express this as:
L = 8 + W
We also know that the area amounts to 105 m squared.
Note:
Area of a Rectangle = Length x Width
Thus, 105 = (8 + W) x W

To adjust the equation, subtract 105 from both sides:
