Question

6. An open box of maximum volume is to be made from a square piece of...

6. An open box of maximum volume is to be made from a square piece of material, 24 inches on a side, by cutting equal squares from the corners and turning up the sides.

a. Write the volume as a function of ?.

b. Find the dimensions of the box such that the box will have maximum volume.

c. What is the maximum volume of the box?

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Rectangular box is made from a piece of cardboard that is 24 inches long and 9...
Rectangular box is made from a piece of cardboard that is 24 inches long and 9 inches wide by cutting out identical squares from the four corners and turning up the sides. Find the dimensions of the box of maximum volume. What is this maximum volume?
Problem: A box with an open top is to be constructed from a square piece of...
Problem: A box with an open top is to be constructed from a square piece of cardboard, with sides 6 meters in length, by cutting a square from each of the four corners and bending up the sides. Find the dimensions that maximize the volume of the box and the maximum volume.
An open box is to be made from a 2-meters by 6-meters piece of cardboard by...
An open box is to be made from a 2-meters by 6-meters piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the box that would give the largest volume? Justify your answer by displaying all work. Make sure to display the proper formulas for the length and width in terms of x.
An open box is to be made from a 20 cm by 29 cm piece of...
An open box is to be made from a 20 cm by 29 cm piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. If ? denotes the length of the sides of these squares, express the volume ? of the resulting box as a function of ? . ?(?)= ____ cm/s.
An open box is made out of a 10-inch by 18-inch piece of cardboard by cutting...
An open box is made out of a 10-inch by 18-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up at the sides. find the dimensions of the resulting box that has the largest volume. asking for: Dimensions of the bottom of the box: _ * _ height of box:
A rectangular piece of cardboard measuring 14 cm by 12 cm is made into an open...
A rectangular piece of cardboard measuring 14 cm by 12 cm is made into an open box by cutting squares from the corners and turning up the sides. The volume of the box is 144 cm3 . Find the dimensions of the box. Include an algebraic solution for full marks.
An open box is to be made from a 16-inch by 30-inch piece of cardboard by...
An open box is to be made from a 16-inch by 30-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. What size should the squares be to obtain a box with the largest volume? a. Draw and label the diagram that shows length x and width y of the box. b. Find the volume formula in terms of x. c. Find the x value for which the rectangle has...
A box with an open top is to be constructed from a square piece of cardboard,...
A box with an open top is to be constructed from a square piece of cardboard, 6 ft wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have (round your answer to the nearest thousandth).
You are planning to make an open rectangular box from a 19in by 37 ​-in. piece...
You are planning to make an open rectangular box from a 19in by 37 ​-in. piece of cardboard by cutting congruent squares from the corners and folding up the sides. What are the dimensions of the box of largest volume you can make this​ way, and what is its​ volume? The dimensions of the box of the maximum volume are
A box with an open top is made from a square sheet of cardboard with an...
A box with an open top is made from a square sheet of cardboard with an area of 10,000 square in. by cutting out squares from the corners and folding up the edges. Find the maximum volume of a box made this way. (draw a picture).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT