Answer:
The maximum height of the prism is 
Step-by-step explanation:
Let
x------> the height of the prism
we know that
the area of the rectangular base of the prism is equal to


so
-------> inequality A
------> equation B
-----> equation C
Substitute equation B in equation C

------> equation D
Substitute equation B and equation D in the inequality A
-------> using a graphing tool to solve the inequality
The solution for x is the interval---------->![[0,12]](https://tex.z-dn.net/?f=%5B0%2C12%5D)
see the attached figure
but remember that
The width of the base must be
meters less than the height of the prism
so
the solution for x is the interval ------> ![(9,12]](https://tex.z-dn.net/?f=%289%2C12%5D)
The maximum height of the prism is 
Answer:
^(3)+7x^(2)+4x-12
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
40=1/2(115-x)
80=115-x
-35=-x
x=35
Edges that are perpendicular to PR basically means what edges make a 90° angle with PR.
Those edges are HP , RA, TR and QP.
Hence, the answer is A, B and C.
Answer:
the answer would be 1.653 I think I'm not totally sure... sorry