Answer:
- Base Length of 84cm
- Height of 42 cm.
Step-by-step explanation:
Given a box with a square base and an open top which must have a volume of 296352 cubic centimetre. We want to minimize the amount of material used.
Step 1:
Let the side length of the base =x
Let the height of the box =h
Since the box has a square base
Volume,
Surface Area of the box = Base Area + Area of 4 sides
Step 2: Find the derivative of A(x)
Step 3: Set A'(x)=0 and solve for x
Step 4: Verify that x=84 is a minimum value
We use the second derivative test
Since the second derivative is positive at x=84, then it is a minimum point.
Recall:
Therefore, the dimensions that minimizes the box surface area are:
- Base Length of 84cm
- Height of 42 cm.
Answer:
Step-by-step explanation:
what fraction?? she uses 1/6 of the construction paper
if you are referring to how much paper is left, its 2/6 aka 1/3
20 cm^2. Type in 20.
2*4 makes 8 divided by two makes 4. There are four sides so do 4*4 to make 16. 2*2 for the middle to make 4. 16+4 makes 20 cm^2
Answer:
To answer this question, more information needs to be disclosed.
One solution because when you switch the - to the other side it will be positive which will equal one and make it one solution.