SOLUTION: Find the length, width, and height of the rectangular prism with the given volume.
Volume = 12 cubic inches
H = x in.
W = (x-1) in.
L = (x=4) in.
Please show your wo
Algebra.Com
Question 1010402: Find the length, width, and height of the rectangular prism with the given volume.
Volume = 12 cubic inches
H = x in.
W = (x-1) in.
L = (x=4) in.
Please show your work and thank you!
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
--->
We need to solve the cubic equation .
<---> <--->
We can solve it by factoring, because the problem was designed to yield an integer value.
We factor by parts:
,
and then we factor further:
.
The solutions are:
<--> ,
<--> , and
<--> .
We need a positive , so ---> .
So, the length, width, and height of the rectangular prism are
.
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