Let h = height of the box,
x = side length of the base.
Volume of the box is

.
So

Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is


The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.

![4x = \frac{460}{ x^{2} } \\ 4x^{3} = 460 \\ x^{3} = 115 \\ x = \sqrt[3]{115} = 4.86](https://tex.z-dn.net/?f=%204x%20%3D%20%5Cfrac%7B460%7D%7B%20x%5E%7B2%7D%20%7D%20%20%5C%5C%20%204x%5E%7B3%7D%20%3D%20460%20%20%5C%5C%20x%5E%7B3%7D%20%3D%20115%20%20%5C%5C%20x%20%3D%20%20%5Csqrt%5B3%5D%7B115%7D%20%3D%204.86%20)
Then

So the box is 4.86 in. wide and 4.87 in. high.
F twice the 1st number minus 3 times the second number is 26<span>, </span>find both<span> ... </span>Twice the first number<span> is eleven more than </span>the sum<span> of the other </span>two numbers<span>.</span>
I believe a qualitative prediction requires a prediction with out any numerical data to support it while a quantitative predictions require a prediction supported by numerical data.
A real world example of this is in chemistry during a lab. qualitative data is based off of observation with out numerical data such as a color change. quantitative data is based off of observation with numerical data such as the mass changes.
(quantitative prediction is decision from data based on percentages, probabilities, and so on while qualitative predictions are based off of given information).
I hope this helps and let me know if you need further explaining.
A. They both ate the same because 170.10 is equal to 170.1
You have to do rearranging formulae to find that out so basically solve for x