URGENT HELP ASAP The volume of a rectangular prism is expressed as 36x3+60x2 + x - 20. Its length is (3x + 4) and its width
is (6x + 5). What is the height of the prism?

(2x - 1)

Step-by-step explanation:

Volume of a rectangular prism is: V = lwh, where l= lenght, w= width, h= heightGivenV = 36x³ + 60x² + x - 20l = (3x + 4)w = (6x + 5)

and

h = ?Solution

Since the volume is the polynomial of third degree and the two of the factors are of the first degree, the third factor is going to be a first degree  as well in the format of (mx +n)

So we have below equation:

36x³ + 60x² + x - 20 = (3x + 4)(6x + 5) (mx + n)

We can work out the value of m and n:

3x*6x*mx = 36x³ 18mx³ = 36 x³m = 2

And

4*5*n = -2020n = -20n = -1

So we get the factor of (mx + n) = (2x - 1)

Therefore

h = (2x - 1)

Proof of the polynimial is correct:

(3x + 4)(6x +5)(2x - 1) = (18x²+39x+20)(2x - 1) =36x³ - 18x² + 78x² - 39x + 40x - 20 =36x² + 60x² + x - 20

38 dollars is your answer.

1.3 and 1 1/3 are both closest to 1. hope this ; )