HELP WILLMARK BRAINLIEST.!!!!
1 answer:
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Answer:
a. V = (20-x)
b . 1185.185
Step-by-step explanation:
Given that:
- The height: 20 - x (in )
- Let x be the length of a side of the base of the box (x>0)
a. Write a polynomial function in factored form modeling the volume V of the box.
As we know that, this is a rectangular box has a square base so the Volume of it is:
V = h *
<=> V = (20-x)
b. What is the maximum possible volume of the box?
To maximum the volume of it, we need to use first derivative of the volume.
<=> dV / Dx = -3 + 40x
Let dV / Dx = 0, we have:
-3 + 40x = 0
<=> x = 40/3
=>the height h = 20/3
So the maximum possible volume of the box is:
V = 20/3 * 40/3 *40/3
= 1185.185
Answer:
225
Step-by-step explanation:
If you move the bottom triangle up (as shown in the picture) it's not actually a square. And they haven't provided you with enough information to solve for anything unless there are still unknown values. You would need to know at least another leg length or angle. If they want the actual value in square millimeters, my best guess is that it's <em>supposed </em>to be a square. Since a square has sides of the same length, the area would be 15 * 15 which is 225.
