the volume of a box can be found by multiplying the length times width times height of a box [V=lwh]. if the volume of a box is 1,300 cubic inches and all it's dimensions are equal, what is the side length of the box in inches. pleaze help

Respuesta :

So this problem is actually fairly simple. The only thing you need to do is take the cube root of 1300. The cube root of 1300 is roughly 10.9. Your answer should be about 10.9 in.

Answer:

length, width, and height are (b+2), (b-2), (b+3)

Step-by-step explanation:

Doing what the problem statement tells you to do, you get ...

 (b^3 +3b^2) -(4b +12)

 = b^2(b +3) -4(b +3) . . . . . factor each pair of terms

 = (b^2 -4)(b +3) . . . . . . . . . write as a product

 = (b -2)(b +2)(b +3) . . . . . . use the factoring of the difference of squares

The three factors are (b-2), (b+2), and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.