Answer:
a) 18 in x 18 in x 18 in
b) 
Step-by-step explanation:
a) Let's call 's' the side of the square base and 'h' the height of the solid.
The surface area is given by the equation:

The volume of the solid is given by the equation:

From the volume equation, we have that:

Then, using this value of h in the surface area equation, we have:


To find the side length that gives the minimum surface area, we can find where the derivative of S in relation to s is zero:





The height of the solid is:

b) The minimum surface area is:


32x+64 = 160
32x = 96
x = 3
Can you attach a picture to your question?
I would love to help you out.
Answer:
D)14 units
Step-by-step explanation:
Just counts how many numbers you get from point A to B. Its pretty simple.
First of all it is always a good idea to graph a question like this one. Here are the three graphs
y = x^4 - x^2 Color: Red This is the base graph
y = x^4 - x^2 - 4 Color Blue This has - 4 added to it.
y = x^4 - x^2 + 4 Color Green This has 4 added to the base graph
Which one is correct? The red and blue one are not. The graph you want is plotted upward from the base graph. The base graph (red nothing added to it) is not right because it has points on the x axis. The graph you want does not.
The same is true of the blue graph. It cuts the x axis. That only leaves the green one.
Answer: C