Question

A rectangular box is made from a piece of cardboard that measures 48cm by 18cm by...

A rectangular box is made from a piece of cardboard that measures 48cm by 18cm by cutting equal squares from each corner and turning up the sides. Find the maximum volume of such a box if:

a) The height of the box must be at most 3cm.

b) The length and width of the base must at least 10cm.

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?
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...
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.
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
Metal Fabrication By cutting away identical squares from each corner of a rectangular piece of cardboard...
Metal Fabrication By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 24 in. long and 9 in. wide, find the dimensions of the box that will yield the maximum volume.
3. A large box is made from a piece of cardboard that measures 10ft by 10ft...
3. A large box is made from a piece of cardboard that measures 10ft by 10ft . Squares of equal size (side length x) will be cut out of each corner. The sides will then be folded up to form a rectangular box. a) Write down a formula for V(x), the volume of the cardboard box. b) What are the critical values for V(x)? c) What size square should be cut from each corner to obtain maximum volume? d) What...
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding...
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 14 in. long and 10 in. wide, find the dimensions of the box that will yield the maximum volume. (Round your answers to two decimal places.) _____ in (smallest value) _____ in ______in(largest value)
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:
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.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT