I am stuck on the following parts with the red x Yau want to make an open hox fr

Question

I am stuck on the following parts with the red x

Yau want to make an open hox from a rectangular piace of matarial, 15 centimaters by 9 centimaters, by cutig aqual suaras from the cornars and hirring up the sides. (a) Lat x reprasent the side length of aach of tha squares ramoved. Draw a diagram showing the squaas removed from the orignal piece of matarial, and usa this dagram to detarmina the resulting dimensions of the open box. (Entar your answers as a comma-separated ist.) 15-219-2xx (b) sa the diagram to writa tha valume V af the hax as a function of x 2x-92x- 15

Explanation / Answer

For Part C, I see you have an idea.

When we graph the function x(2x-9)(2x-15), the highest point is 1.82. However, we have to find dimensions.

So,

x=1.82

15-2x = 15-2(1.82) = 11.36

9-2x = 9-2(1.82) = 5.36

So, dimensions are : 1.82, 5.36, 11.36

Part D) Please draw graph of y=x(2x-9)(2x-15) and y=56 on calculator. The graphs intersect at : 0.5, 3.5 and 8.

Part E) x=8 is impossible. One of the dimension is 9-2x. So, 9-2(8) = -7. Negative length not possible. So, x=8 is not right.

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