the volume of a cuboid is 228 cm Square if the length is twice the width and thrice the height find the length of the cuboid

6.724 cm to nearest thousandth.

Step-by-step explanation:

I am assuming it is x cubed as we are talking about the volume.

Let the width be x cm, then the length is 2x and the height = 3x cm.

So we have the equation:

x * 2x * 3x = 228 (because volume = length*width*height).

6x^3 = 228

x^3 = 38

x = ∛38

= 3.362

So the length = 2 * 3.362

= 6.724 cm to nearest thousandth.