A rectangular piece of cardboard measuring 24 inches by 30 inches is to be made into a box with an open-top by
cutting equal size squares from each corner and folding up the
sides. Let x represent the length of a side of each
such square. What is the maximum volume of this box? If necessary,
round to 2 decimal places.

hiking down a winding trail.

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it