The volume of a box is 2x^3+9x^2-20x-75 cubic centimeters. Find the length if width is (x+5) centimeters and the height is (x-3) centimeters? Can you please show the work. Thank you

2 Answers
Gió
Apr 13, 2017

I got 2x+5

Explanation:

Have a look:
enter image source here

Barney V.
Apr 14, 2017

color(red)(2x+5

Explanation:

Volume of box = 2x^3+9x^2-20x-75cm^3 given

Width=x+5 cm given

Height=x-3 cm given

Length?

:.W xx H xx L=Volume

:.L=(Volume)/(W xx H)

:.W xx H=(x-3)*(x+5)=x^2+2x-15

:.L=(2x^3+9x^2-20x-75)/(x^2+2x-15)

color(white)(000000000000")")underline(color(white)(0000000000000)color(red)(2x+5color(white)(0000))
x^2+2x-15color(white)(0)")"color(white)(0)2x^3+9x^2-20x-75
color(white)(000000000000")"0)underline(2x^3+4x^2-30x)
color(white)(00000000000000000")"00)5x^2+10x-75
color(white)(00000000000000000")"00)underline(5x^2+10x-75)

color(white)(00000")"000)color(red)(2x+5=quotient=Length

Related questions
See all questions in Volume of Solids
Impact of this question
4013 views around the world
You can reuse this answer
Creative Commons License