To find: How long should you make the cuts? What is the maximum volume? What will the dimensions of the finished box be?
The cuts would be
Given information:
You are making a rectangular box out of a 10-inch-by-15-inch piece of cardboard. The box will be formed by making the cuts of
Formula used:
Volume of rectangular box is length times width times the height of the box.
Calculation:
The length of the box would be
To find the maximum volume, graph the volume function on a graphing calculator. Consider only the interval
It is visible that the maximum volume is about
Length of the box would be:
Width of the box would be:
Therefore, the dimensions of the box will be about
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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- ◄ Listen A vacant lot is being converted into a community garden. The garden and a walkway around its perimeter have an area of 560 square feet. Find the width of the walkway (x) if the garden measures 15 feet wide by 19 feet long. Write answer to 2 decimal places. (Write the number without units). X 15 feet Your Answer: 19 feet Xarrow_forwardListen A stuntman jumps from a roof 440 feet from the ground. How long will it take him to reach the ground? Use the formula, distance, d = 16t2, (where t is in seconds). Write answer to 1 decimal place. (Write the number, not the units). Your Answer:arrow_forwardSolve x² - 10x + 24 = 0 ○ A) 4,6 B) -12, -2 C) 12,2 D) -4, -6arrow_forward
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