Question

A sheet of paper 36 cm-by-54 cm is made into an open box (i.e. there's no...

A sheet of paper 36 cm-by-54 cm is made into an open box (i.e. there's no top), by cutting

x-cm

squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box. Give your answer in the simplified radical form.

I cannot seem to get past step 6 where you have a fraction and square root. Please post step by step with explanation answer.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A sheet of paper 64 cm-by-68 cm is made into an open box (i.e. there's no...
A sheet of paper 64 cm-by-68 cm is made into an open box (i.e. there's no top), by cutting x-cm squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box. Give your answer in the simplified radical form.
An open top box is to be made by cutting small congruent squares from each corner...
An open top box is to be made by cutting small congruent squares from each corner of a 12x12in sheet of cardboard and folding up sides. Whag dimensions would yield max volume, using calculus?
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).
A 10-inch square piece of metal is to be used to make an open-top box by...
A 10-inch square piece of metal is to be used to make an open-top box by cutting equal-sized squares from each corner and folding up the sides. The length, width, and height of the box are each to be less than 7 inches. What size squares should be cut out to produce a box with volume 50 cubic inches? What size squares should be cut out to produce a box with largest possible volume?
A piece of cardboard measuring 11 inches by 10 inches is formed into an open-top box...
A piece of cardboard measuring 11 inches by 10 inches is formed into an open-top box by cutting squares with side length x from each corner and folding up the sides. Find a formula for the volume of the box in terms of x V ( x ) = (11-2x)(10-2x)(x) Find the value for x that will maximize the volume of the box 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 from a square sheet of tin ( 60 in x 60...
An open box is made from a square sheet of tin ( 60 in x 60 in). by cutting out small identical squares from each corner and bending up the resulting flaps, determine the dimensions of the largest box that can be made and the maximum volume. Please write height , width and length. values and volume in you answer.
A piece of cardboard is twice as long as it is wide. It is to be...
A piece of cardboard is twice as long as it is wide. It is to be made into a box with an open top by cutting 2 cm squares from each corner and folding up the sides. Let x represent the width of the original piece of cardboard. Find the width of the original piece of cardboard,x, if the volume of the box is 1120 cm^3
1. A box with a square base and no top is to be made from a...
1. A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and folding up the sides. The box is to hold 17424 in3. How big a piece of cardboard is needed? Your answer is: _ in. by_ in. 2. A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $10 the average attendance has been 22000. When...
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.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT