A box with a square base has a length plus girth of 108 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2400 in3? The smaller possible length is
inches.
The larger possible length is
inches.

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus

the answer for this is 0.25 km. : )