a rectangular prism has a length of 2x+5 a width of x+3 and the height of x+3, find the ratio of the volume to the surface area

Question

a rectangular prism has a length of 2x+5 a width of x+3 and the height of x+3, find the ratio of the volume to the surface area

Answer 1

Let length = L

Let width = W

Let height = H

 

Here are your formulasa for surface area, SA, and volume, V.

 

V = LWH

 

SA = 2LW + 2HL + 2WH

 

 

Plugging in the values of the length, width, and height, we can get the surface area and volume.

 

V = (2x + 5)(x + 3)(x + 3)

V = (2x + 5)(x² + 6x + 9)

V = 2x(x² + 6x + 9) + 5(x² + 6x + 9)

 

Simplify to get your volume.

 

 

SA = 2(2x + 5)(x + 3) + 2(2x + 5)(x + 3) + 2(x + 3)(x + 3)

 

Simplify to get your surface area.

 

 

Once you have done that, you can get the ratio.

 

Ratio = V / SA