Hello,

so its width is x.

We know that its length is 3 times as long as its width, meaning that its length is 3x.

We know that its height is half as long as its length, meaning that its height is (3x)/2.

If you view the box (I recommend you make a sketch), there is one bottom, rectangular, with its sides : length,width,length,width.

So its area is (width * length) = 3x²

For two of the sides, the sides are : length,height,length,height.

So each of their area is (length * height) = 9x²/2

For the last two sides, the sides are : width,height,width,height.

So its area is (width * height) = 3x²/2

And finally, the cost will be ... ?

For question b), solve for x in f(x)=0.69.

This is not hard, just taking square roots

If you struggle with that, let us know.