an 18 inch by 20 inch sheet of cardboard is cut and folded to make a box for the great pecan company. a. write a polynomial funtion to model the volume of the box. how can i graph this? c.

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  1. Math

    A 6 inch personal pizza has 630 calories, with 240 of those from fat. A 16 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 16 inch pizza.

  2. Math Please Help

    A pizza box top with a square base is to be made from a rectangular sheet of cardboard by cutting six 1-inch squares from the corners and the middle sections and folding up the sides. If the area of the base is to 144 in^2, what piece of cardboard should

  3. Math

    From an 8 inch by 10 inch rectangular sheet of paper, squares of equal size will be cut from each corner. The flaps will then be folded up to form an open-topped box. Find the maximum possible volume of the box.

  4. Math

    A pizza box with a square base is to be made from a rectangular sheet of cardboard by cutting six 1-inch squares from the corners and the middle sections and folding up the sides (see the figure). If the area of the base is to be 144 in^2, what size piece

  5. calculus

    An open box is to be made out of a 10-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume.

  6. math

    a box is to be made by cutting out the corners of a square piece of cardboard and folding the edges up. if 3-inch squares are to be cut out of the corners and the box contains 243 cubic inches, what is the length of a side of the original cardboard square

  7. math

    Identical square are cut from each corner of an 8 inch by 11.75inch rectangular piececof cardboard.the sides are folded up to make a box with no top . if the volume of the resulting box is 63.75 cubic inches how long is the edge of each square that is cut

  8. math analysis / pre calculas

    a box is to be made by cutting squares from the corners of a 22 inch by 14 inch piece of cardboard and the volume is at least 220 cubic inches. What are the dimensions of the squares?

  9. College Math

    An open-topped rectangular box is to be constructed from a 24 inch by 36 inch piece of cardboard by cutting out squares of equal sides from the corners and then folding up the sides. What size squares should be cut out of each of the corners in order to

  10. Calculus

    A rectangular sheet of metal measures 50cm by 40cm .Equal squares of side x cm are cut from each corner and discarded.The sheet is then folded up to make a tray of depth x cm.what is the domain of possible values of x.Find the values of x which maximise

  11. Mathematics

    How many 1/3-inch pieces can be cut from a piece of ribbon 4/9 of an inch long?

  12. Calculus

    Equal squares of side length x are removed from each corner of a 20 inch by 30 inch piece of cardboard, and the sides are turned up to form a box with no top. Write the volume V of the box as a function of x.

  13. calculus

    a box with no top is to be built by taking a 12''-by-16'' sheet of cardboard and cutting x-inch squares our of each corner and folding up the sides. find the value of x that maximizes the volume of the box

  14. Math Calculus Word Problem

    an 18 inch by 20 inch sheet of cardboard is cut and folded to make a box for the great pecan company. a. write a polynomial funtion to model the volume of the box. how can i graph this? c. the company wants the box to have a volume of 224 cubic inches.

  15. algebra

    open box made from 33 x 33 inch sheet of metal by cutting out x-inch square from each corner and folding up the sides. What size square should be cut out to produce a box of maximum volume? (This is algebra class)

  16. Mathematics

    How many 1/4​-inch pieces can be cut from a piece of ribbon 7/20 of an inch​ long?

  17. Math

    A 6 inch personal pizza has 620 calories, with 240 of those from fat. A 16 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 16 inch pizza. Hint... must use Area = Pi*r^2 proportions to solve this problem.. DO NOT SOLVE BY

  18. Calculus

    From each corner of a square piece of cardboard, remove a square of sides 3 inch. Turn up the edges to form an open box. If the box is to hold 300 inch cubed, what are the dimensions of the original piece of cardboard?

  19. pre-calc

    A box with an open top is to be constructed by cutting equal-sized squares out of the corners of a 18 inch by 30 inch piece of cardboard and folding up the sides. a) Let w be the length of the sides of the cut out squares. Determine a function V that

  20. Algebra 1 (Reiny!)

    A piece of 8.5-by-11-inch cardboard has identical squares cut from its corners. It is then folded into a box with no lid. The volume of the box in cubic inches is 4c^3 - 39c^2 + 93.5c, where c is the side length of the missing squares in inches. a. What is

  21. math

    6. You are given a sheet of cardboard that is 8.0 in. x 11.0 in. How many full circles with a diameter of 3.0 inches can you cut from the cardboard? What is the percentage of waste if the

  22. Math

    Marcia developed a roll of film and received 4-inch by 6-inch prints. She wants to have one picture enlarged to an 8-inch by 12-inch print. What kind of transformation is this? What is the scale factor?

  23. algebra

    I have a piece of cardboard that is twice as long as it is wide .I f I cut a 1-inch by 1-inch square from each corner and fold up the resulting flaps ,I get a box with a volume of 40 cubic inches.what are the dimensions of the cardboard?

  24. Algebra

    You have to make a square-bottomed, unlidded box with a height of three inches and a volume of approximately 42 cubic inches. You will be taking a piece of cardboard, cutting three-inch squares from each corner, scoring between the corners, and folding up

  25. Math

    An open box is to be made from a 11 inch by 11 inch piece of cardboad. this box is constructed by cutting squares that measure x inches on each side from the corners of the cardboard and turning up the sides. Use a graphical calculator to find the height

  26. math

    A triangle has a 13-inch side, a 14-inch side, and a 15-inch side. To the nearest tenth of an inch, how long is the median drawn to the 14-inch side?

  27. MATH help

    A box with no top is to be constructed from a piece of cardboard whose Width measures x inch and whose length measures 3 inch more than the width the box is to be formed by cutting squares that measure 1 inch on each side of the 4 corners and then folding

  28. Maths

    A gift box is made from a rectangular piece of cardboard that is three times as long as it is wide. 5 cm squares are cut from each corner and the ends are then folded up to make the box. If the box's volume is 4340 cm^3, find the length and width of the

  29. Math

    Jack needs a piece of wood at least 13/16 inch long for some detail work on a project he is working on. Which of the following lengths of wood would meet his requirements? a 1/2 inch b 7/8 inch c 3/4 inch d 27/32 inch e 5/8 inch f 1/4 inch How do I solve

  30. math

    An 8-inch by 8-inch square is folded along a diagonal creating a triangular region. This resulting triangular region is then folded so that the right angle vertex just meets the midpoint of the hypotenuse. What is the area of the resulting trapezoidal

  31. math

    A cylindrical carton of oatmeal with radius of 3.5 in. is 9 in tall. If all surfaces except the top are made of cardboard , how much cardboard is used to make the oatmael carton. Round your answer to the nearest square inch

  32. mathematics

    how many 1/5 ​-inch pieces can be cut from a piece 3/10 of ribbon of an inch​ long?

  33. Geometry/Math

    What Formula would I use to calculate how much my cardboard box with a surface area of 1578cm and a volume of 3078 cm would cost if cardboard was $0.05 per square inch.

  34. Math

    Circular discs of radius 3.5cm are to be cut from a rectangular sheet of cardboard measuring 50cm by 30cm. once the disc are cut out, the remaining parts of the sheet are waste. A. how many disc can be cut from one sheet of cardboard? B. If % waste =

  35. math

    A piece of cardboard measure 12ft by 12ft. Corners are to be cut from it as shown by the broken lines, and the sides folded up to make a box with an open top. What size corners should be cut from the cardboard to make a boxx with the greatest possible

  36. optimal dimensions

    Applications of derivatives You are planning to make an open rectangular box from an 8 by 15 inch 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

  37. Math

    if it takes 40 seconds to cut a 10-inch by 10 inch square cake into 2 inch by 2 inch pieces, how many seconds will it take to cut a 12 inch by 12 inch square cake into 2 inch by 2 inch pieces

  38. math

    How can you draw a line that is 5 inches long using only one sheet of 8 1/2 inch x 11 inch paper?

  39. Math

    A pizza box with a square base is to be made from a rectangular sheet of cardboard by cutting six 1-inch squares from the corners and the middle sections and folding up the sides (see the figure). If the area of the base is to be 144 in^2, what size piece

  40. Math

    You have to wrap gift boxes for your club project. Each box is 4.5 inches wide, 7 inch long, and 4 inches tall. What size sheet of wrapping paper do you need to cut to cover the box? Gift wrap paper comes in sheets which are 30 inches wide and 36 inches

  41. Math

    You do not have enough 6-inch beads to make the rope, so you will use 10-inch beads instead. Write and solve an inequality that represents the number of 10-inch beads that you can use.

  42. Math

    A box with a rectangular base and no top is to be made from a 9 inch by 12 inch piece of cardboard by cutting squares out of the corners and folding up the sides. What size (side-length) squares should be cut out to make the box have as much volume as

  43. Math

    Arlan needs to create a box from a piece of cardboard. The dimensions of his cardboard are 10 inches by 8 inches. He must cut a square from each corner of the cardboard, in order to form a box. What size square should he cut from each corner, in order to

  44. Algebra Word Plob..PLEASE HELP

    You have to wrap gift boxes for your club project. Each box is 4.5 inches wide, 7 inch long, and 4 inches tall. What size sheet of wrapping paper do you need to cut to cover the box? Gift wrap paper comes in sheets which are 30 inches wide and 36 inches

  45. Calculus

    An open top box is made by cutting congruent squares from the corners of a 12 inch by 9 inch sheet of cardboard and then folding the sides up to create the box. What are the dimensions of the box which contains the largest volume?

  46. math

    mr. m has an 8 inch by 11 inch sheet of paper. He created a box by cutting congruent squares from each corner.The base of his box is 54 square inches.How much did he cut from each corner.

  47. Math

    mr. m has an 8 inch by 11 inch sheet of paper. He created a box by cutting congruent squares from each corner.The base of his box is 54 square inches.How much did he cut from each corner. (algebraic solutions only)

  48. math

    A pizza box with a square base is to be made from a rectangular sheet of cardboard by cutting six 1-inch squares from the corners and the middle sections and folding up the sides (see the figure). If the area of the base is to be 400 in^2, what size piece

  49. math

    How many ​-inch pieces can be cut from a piece of ribbon of an inch​ long?

  50. math

    a rope was cut in 7 equal pieces of 1/2 a piece measures 3 inch. how many inch was the rope before it was cut

  51. math mesurment

    how do you mesurment inch half inch quarter inch andeighth inch

  52. Math

    Elijah draws shapes on his graph paper.He draws a square with sides 1/2 inch long. He draws an equilateral triangle with sides that are 1/4 inch long. What is another measurement that describes the length of the triangle's sides ? a. 2/1 inch b. 2/2 inch

  53. Math

    Alex wants to cut out as many circular badges as possible from a rectangular sheet of cardboard(100cm by 60cm). The diameter of each badge is 14 centimeters. Use 22 an approximation for pi. a) How many badges can Alex cut? b) What is the area of the

  54. math

    Tami is cutting an 8 1/2 inch wide piece of paper in strips for an art project. How many 1/2 inch strips can she cut?

  55. Math

    Jasmine is manufacturing engineer who is trying to find out if she can use a 12-inch by 12-inch sheet of cardboard and a 15-inch by 16-inch sheet of cardboard to make boxes with the same height and volume. In such a pair of boxes possible?

  56. algebra

    Open-top box. Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 square inches, then what size square should be

  57. Calculus

    You are given a 60 inch by 30 inch piece of cardboad and asked to make a six-sided box. If the cardboard is cut along the lines shown, what will the dimensions of the box with maximum volume?

  58. Math--Please Help

    A pizza box with a square base is to be made from a rectangular sheet of cardboard by cutting six 1-inch squares from the corners and the middle sections folding up the sides. If the area of the base is to be 144 in^2, what size piece of cardboard should

  59. math

    The number of washers 3/32 inch thick that can be cut from a piece of stock 25 1/2 inches long, allowing 1/16 inch for waste for each cut is a. 160 b. 163 c. 260 d. 272 e. 408 please answer and explain

  60. Math

    The number of washers 3/32 inch thick that can be cut from a piece of stock 25 1/2 inches long, allowing 1/16 inch for waste for each cut is A) 160 B) 163 C) 260 D) 272 E) 408 Pls help and explain x

  61. Geometry

    A 2 inch by 2 inch by 2 inch block of wood has 1 inch diameter hole drilled. Through the center. Find the total volume and surface area. Round to the nearest tenth.

  62. Calculus

    A 10-foot section of gutter is made from a 12-inch-wide strip of sheet metal by folding up 4-inch strips on each side so that they make the same angle with the bottom of the gutter. Determine the depth of the gutter that has the greatest carrying capacity.

  63. Physics

    You have a 40 inch wheel tow 20 inch wheel to a 5 inch wheel how many revolutions does the 5 inch wheel have to make to make the 49 inch wheel rotate 1revolution?

  64. math

    A 4-inch long ribbon is cut into pieces. If the length of each piece is 12of an inch, how many pieces are cut?

  65. Algebra

    You have to wrap gift boxes for your club project. Each box is 4.5 inches wide, 7 inch long, and 4 inches tall. What size sheet of wrapping paper do you need to cut to cover the box? Gift wrap paper comes in sheets which are 30 inches wide and 36 inches

  66. math

    The length of a rectangular piece of cardboard is three more than twice the width. A square 2 cm on a side is cut out of each corner. The sides are folded up to form an open box. if the volume of the box is 120cm^3, what were the original dimensions of the

  67. math

    Elijah draws shapes on his graph paper.He draws a square with sides 1/2 inch long. He draws an equilateral triangle with sides that are 1/4 inch long. What is another measurement that describes the length of the triangle's sides ? a. 2/1 inch b. 2/2 inch

  68. algebra 1

    The cheerleaders are making buttons for homecoming. They are printing paper circles with a diameter of 3 inches that will be folded over a metal backing and covered with clear plastic. If a 1/2 inch border is folded over, how much of the picture will show

  69. volume

    Jasmine is a manufacturing engineer who is trying to find out if she can use a 20-inch-by-12 inch sheet of cardboard and a 15-inch-by-16-inch sheet of cardboard to make boxes with the same height and volume. Is such a pair of boxes possible? Please give

  70. Algebra

    A box with a lid is to be cut out of a 12 inch by 24 inch sheet of thin cardboard by cutting out six x-inch squares and folding them. What are the dimensions to two decimal places of all possible boxes that will have a volume of 100 cubic inches?

  71. Math

    From a 10-inch-by-19-inch piece of cardboard, 3-inch-square corners are cut out, as shown in the figure above, and the resulting flaps are folded up to form an open box. Find the surface area and volume of the open box

  72. Maths- Calculus

    a sheet of cardboard is to be folded up to make a closed box. If the cardboard measures 55 cm by 80cm calculate the maximum volume of the box that can be made from this sheet of cardboard

  73. Math

    If you cut 4 inch by 6 inch rectangular piece of glass from a 2 feet by 4 feet sheet of glass what would be the largest number of pieces you could cut

  74. math

    Jessie has a piece of cardboard that is 8.5 inches by 11 inches. She makes a picture frame with the cardboard by cutting out a 4 inch by 4 inch square from the center of the cardboard. What is the are of the frame?

  75. MATH

    WHAT IS THE LENGTH OF THE YARN TO THE NEAREST INCH A. 1 INCH B. INCH 2 C.INCH 3 D.INCH 4 THAT ALL THE ANSWER THAT'S ON MY WORK PLZ HELP ME THXS GUYS GIRL'S AND BOY'S

  76. Please HELP!!!!

    mr. m has an 8 inch by 11 inch sheet of paper. He created a box by cutting congruent squares from each corner.The base of his box is 54 square inches.How much did he cut from each corner. (algebraic solutions only)

  77. Math

    how many pieces of wood measuring 12-inch by 13-inch can be cut from 48-inch by 72-inch piece of wood

  78. Math

    Lesson 8: Geometric Constructions Madelyn had a square piece of cardboard that was 10 inches in length. She cut one 3-inch square from each corner. The shaded part represents the remaining cardboard. Show your work!

  79. Math 209

    An advertisement for LED HDTVs lists the following prices for their different sizes (all have the same aspect ratio 9:16): 22-inch $ 247.99 42-inch $ 1,299.99 46-inch $ 1,449.99 52-inch $ 1,799.99 55-inch $ 1,999.0 Rearrange this list in terms of the price

  80. Math

    A box with no top is to be constructed from a piece of cardboard whose Width measures x inch and whose length measures 3 inch more than the width the box is to be formed by cutting squares that measure 1 inch on each side of the 4 corners and then folding

  81. Math--Please Help

    A pizza bx with a square base is to be made from a rectangular sheet of cardboard by cutting six 1-inch square from the corners and the middle sections and folding up the sides. If the area of the base is to be 144 in^2, what size piece of cardboard should

  82. Math

    You bake brownies in a 9-by15-inch pan. If you cut the brownies into servings 3 inch by 3 inch., how many squares will I have?

  83. math

    The number of washers 3/32 inch thick that can be cut from a piece of stock 25 1/2 inches long, allowing 1/16 inch for waste for each cut is (A) 160 (B) 163 (C) 260 (D) 272 (E) 408 not just answer, please tell me how to do it

  84. Calculus

    A 10-foot section of gutter is made from a 12-inch-wide strip of sheet metal by folding up 4-inch strips on each side so that they make the same angle with the bottom of the gutter. Determine the depth of the gutter that has the greatest carrying capacity.

  85. math

    Carman wants to cut 3/4 inch peices from 62 long inch wire. How many 3/4 inch peices will she have?

  86. math

    How mant six and one forth inch pieces can be cut from a seventy-five inch role of fabric?

  87. Math

    Divide: How many 3/4 inch pieces can be cut from a 36 inch piece of wood? _______

  88. Math

    At an electronics store, the number of 37-inch HGTVs that is expected to be sold in a month is double that of 58-inch HGTVs and 50-inch HGTVs combined. Sales of 58-inch and 50-inch HGTVs are expected to be equal. 58-inch HD-TVs sell for $4800 50-inch

  89. Math

    You are making poster board boundary markers in the shape of square pyramids for a relay race. If you are including a 10-inch square as the bottom and you want the slant height to be 12 inches, how much poster board do you need? A: 340 inch B: 360 inch C:

  90. Algebra

    Please help as soon as you can! Madelyn had a square piece of cardboard that 10 inches in length. She cut one 3-inch square from each corner, as shown below. Please show your work!

  91. Math

    The number of 37-inch HDTV's that is expected to be sold in a month is double that of 58-inch HDTV's and 50-inch HDTV's combined.sales of 58-inch HDTV's are expected to be equal. 58-inch HD-TV's sell for $4,800, 50-inch HD-TVs sell for $2000, and 37-inch

  92. Algebra

    The number of 37-inch HDTV's that is expected to be sold in a month is double that of 58-inch HDTV's and 50-inch HDTV's combined.sales of 58-inch HDTV's are expected to be equal. 58-inch HD-TV's sell for $4,800, 50-inch HD-TVs sell for $2000, and 37-inch

  93. math

    A rectangular sheet of metal, of area 440 sq.cm is folded into a cylinder, to enclose a volume of 1540 cu.cm. A circle whose diameter is equal to the width of the rectangular sheet is cut from the sheet. Find the ratio of the area of the uncut region to

  94. Math

    If i have 3 inch squares cut out the corners of a rectangular shaped piece of cardboard...after folding the the to form a box the length is twice as long as it is wide and has a volume of 1350 cubic inces...what are the dimensions

  95. geometry

    A candy company has hired you as their new production manager. Your job is to choose the form of packaging for a new product from the five choices below. The package must hold at least 100 cubic inches. The cost of the cardboard for the packaging is $0.04

  96. Math

    Cougar Pizza Parlor has just opened up across the street. You are thinking of inviting some friends over for pizza and ordering from Cougar's. You want to get the most pizza for the money. The menu shows the following prices. 6- inch round pizza....$7.50

  97. Math

    A metal cylinder with a 4 inch radius and a 10 inch altitude is melted and recast into solid right circular cones each with a 1 inch radius and 2 inch altutudes. What is the number of cones formed?

  98. math

    What is the maximum volume in cubic inches of an open box to be made from a 12-inch by 16-inch piece of cardboard by cutting out squares of equal sides from the four corners and bending up the sides? Your work must include a statement of the function and

  99. Calculus

    What is the maximum volume in cubic inches of an open box to be made from a 16-inch by 30-inch piece of cardboard by cutting out squares of equal sides from the four corners and bending up the sides? Your work must include a statement of the function and

  100. algebra

    An open topped box is constructed from a 20 inch by 15 inch piece of cardboard by cutting equally sized squares from each corner and folding up the resulting flaps. What is the maximum volume of the box? Be sure your answer is to this prompt! Round your

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