Question 276249
look at or think about a wrapped box


each dimension (width, depth, height) has 4 lengths of tape (bands)


subtracting the 6 inch waste ___ 4w + 4d + 4h = 20 ___ w + d + h = 5


the base is square, so ___ w = d ___ substituting ___ 2w + h = 5 ___ h = 5 - 2w


the volume is 2 ___ w * d * h = 2 ___ substituting ___ w^2 * h = 2 ___ w^2 (5 - 2w) = 2 ___ 0 = 2w^3 - 5w^2 + 2


when w = 1, the value of the expression is -1
___ when w = 1/2, the value of the expression is 1


you can test between these points to find a suitable value for w (this will also be the value for d)
HINT: should be close to 3/4


you can then substitute to find h