if the length of a box is given

Question

if the length of a box is given as (1-ax) inches and the width as (2x+1) inches and the height as (x+2a). what is the box's volume?

Answer 1

Hi Carina, the formula for the volume of a box (rectangle) is: V = L * W * H. 

 

We know what L, W, and H are:

 

L = 1 - ax

 

W = 2x + 1

 

H = x + 2a

 

To find the volume, substitute into the formula:

 

V = (1 - ax) * (2x + 1) * (x + 2a)

 

V = (2x + 1 - 2ax² - 2ax) * (x + 2a)

 

V = 2x² + x - 2ax³ - 2ax² + 4ax + 2a - 4a²x² - 4a²x

 

V = 2a + (1 + 4a - 2a²) * x + (2  - a - 4a²) * x² - 2a * x³ 

 

Questions?