Answer:
(6x²+13x+6) ÷ (2x+3) sq in
Step-by-step explanation:
Volume = base × height
6x³+13x²+6x = (2x²+3x)h
Divide both sides by (2x²+3x)
(6x³+13x²+6x) ÷ (2x²+3x) = (2x²+3x)h ÷(2x²+3x)
By Factorization
x(6x²+13x+6) ÷ x(2x+3) = h
h= (6x²+13x+6) ÷ (2x+3)
Therefore the height of the prism is (6x²+13x+6) ÷ (2x+3) sq in
