Answer: 6
Step-by-step explanation:
Let's start by getting the equation to slope intercept form
First simplify
Then get y by itself
In slope intercept form y=mx+b, m is the slope
In this case the slope is 6
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The box should have base 52 cm by 52 cm and height 26 cm.
What is volume?
A three-dimensional space's occupied volume is measured. It is frequently expressed as a numerical value using SI-derived units, other imperial units, or US customary units. Volume definition and length definition are connected.
The Volume of a box with a square base x by x cm and height h cm is
Since the surface area directly affects the amount of material used, we can reduce the amount of material by reducing the surface area.
The surface area of the box described is
We need A as a function of x alone, so we'll use the fact that
⇒
So, the area becomes,
We want to minimize A, so
The second derivative test verifies that A has a minimum at this critical number:
which is positive at x = 52.
Now,
Hence, The box should have base 52 cm by 52 cm and height 26 cm.
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