I need help with the problem below. I upvote all correct answers, always. Thank you in advance. I already tried some answers. The ones shown are the ones I tried & they're wrong, as shown by the red highlighting them. Please do not forget some parts on this one!!! The other person did. There is part a with 1 answer, part b with 1 answer and part c with 4 A box is to be made out of a 12 cm by 14 cm piece of cardboard. Squares of side length a cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top.(a) Express the volume V of the box as a function of æ.V =4x° - 50x + 168xcm³(b) Give the domain of V in interval notation. (Use the fact that length, width and volume must be positive.)(c) Find the length L, width W, and height H of the resulting box that maximizes the volume. (Assume that W < L).L = 9.34 cm%3DW = 7.34 cm%3DH = 2.33 cm%3D(d) The maximum volume of the box is 159.73 cm³.

length of the cardboard = 14 cm, Width of the cardboard = 12 cm, the side of the cutout square = x,…

A box is to be made out of a 12 cm by 14 cm piece of cardboard. Squares of side length r cm will be cut out of each c a) Express the volume V of the box as a function of x. 4x - 50x2 + 16&r cm %3D b) Give the domain of V in interval notation. (Use the fact that length, width and volume must be positive.) c) Find the length L, width W, and height H of the resulting box that maximizes the volume. (Assume that W < L). L = 9.34 cm W = 7.34 cm H = 2.33 cm %3!