Answer:
A. 14x14x28
B. The maximum volume is 5488 cuibic inches
Step-by-step explanation:
The problem states that the box has square ends, so you can express volume with:
Using the restriction stated in the problem to get another equation you can substitute in the one above:
Substituting <em>y</em> whit this equation gives:
Now find the limit of <em>x</em>:
Find the length:
You can now calculate the maximum volume:
Answer: 35 and 27
Step-by-step explanation:
We can solve this by using a system of equations
x will be the first number while y will be the second
This equation means the two numbers will add to get 62
This equation means when subtracted the two numbers will have the difference of 8.
Now I will solve by elimination
When adding the two equations why was eliminated so now we can find the value of x
Now sub in x into one of the original equations to find the value of y