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 30 inches long and 14 inches wide find the dimensions

14,219 results
  1. Math

    An open-topped box can be created by cutting congruent squares from each of the four corners of a piece of cardboard that has dimensions of 20cm by 30cm and folding up the sides. Determine the dimensions of the squares that must be cut to create a box with

  2. math

    an open rectangular box is to be formed by cutting identical squares, each of side 2 in, one from each corner of a rectangular piece of cardboard, and then turning up the ends. If the area of the piece of cardboard is 160 in² and the box is to have volume

  3. 11th grade math

    A box without a lid is constructed from a 38 inch by 38 inch piece of cardboard by cutting in. squares from each corner and folding up the sides. a) Determine the volume of the box as a function of the variable . b) Use a graphing calculator to approximate

  4. Math

    A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 in by 12 in by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a

  5. math

    A box with a square base and no top is to be made from a square piece of cardboard by cutting 4-in. squares from each corner and folding up the sides, as shown in the figure. The box is to hold 324 in3. How big a piece of cardboard is needed?

  6. calculus

    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 6 in. wide, find the dimensions of the box that will yield the maximum

  7. Calculus

    Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 3 ft by 4 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this

  8. math

    A square piece of cardboard is to be used to form a box without a top by cutting off squares, 5cm on a side, from each corner and then folding up the sides. if the volume of the box must be 320 sq. sm, what must be the length of a side of the cardboard?

  9. math

    a rectangular sheet of cardboard 4m by 2m is used to make an open box by cutting squares of equal size from the four corners and folding up the sides.what size squares should be cut to obtain the largest possible volume?

  10. Pre Calculus

    A piece of cardboard measuring 13 inches by 11 inches is formed into an open-top box by cutting squares with side length x from each corner and folding up the sides. a. Find a formula for the volume of the box in terms of x b. Find the value for x that

  11. Math

    A rectangular piece of cardboard measuring 12 cm by 18 cm is to be made into a box with an open top by cutting equal size squares from each corner and folding up the sides. Let x represent the length of a side of each square in centimetres. a. Give the

  12. Maths

    A box with no top is to be built by taking a 6'' - by - 10'' sheet of cardboard and cutting x - in. squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box.

  13. pre-calc please help!!

    an open box with a volume of 1500cm cubed is to be constructed by taking a piece of cardboard of 20 cm by 40 cm, cutting squares of sides length x cm from each corner and folding up the sides. show that this can be done in two ways, and find exact

  14. math

    A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions W inches by L inches by cutting out equal squares of side x at each corner and then folding up the sides. (W = 12 in. and L = 20 in). Find the values of x for

  15. math

    A rectangular box is built by cutting out square corners from a 9" by 11" piece of cardboard, then folding the resulting flaps up to form the height. Let x represent the sides of the square corners being cut out. Express the volume of the box as a function

  16. math

    An open-topped box is made from a rectangular piece of cardboard, with dimensions of 24 cm by 30 cm, by cutting congruent squares from each corner and folding up the sides. Determine the dimensions of the squares to be cut to create a box with a volume of

  17. Calculus

    an open box is made by cutting out squares from the corners of a rectangular piece of cardboard and then turning up the sides. If the piece of cardboard is 12 cm by 24 cm, what are the dimensions of the box that has the largest volume made in this way?

  18. Calculus 1

    A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 18 in. by 30 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a

  19. 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

  20. 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

  21. Math

    A piece of cardboard measuring 11 inches by 12 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)= ? Find the value for x that

  22. math

    A box with a square base and no top is to be made from a square piece of cardboard by cutting 4-in. squares from each corner and folding up the sides, as shown in the figure. The box is to hold 196 in3. How big a piece of cardboard is needed?

  23. Algebra

    A box with no top is to be constructed from a piece of cardboard whose length measures 6 inch more than its width. The box is to be formed by cutting squares that measure 2 inches on each side from the four corners an then folding up the sides. If the

  24. Calculus

    A piece of cardboard measuring 13 inches by 14 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)= Find the value for x that

  25. Algebra

    A box with a square base and no top is to be made from a square piece of cardboard by cutting 4-in squares from each corner and folding up the sides... the box is told 100 in cube, how big a piece of cardboard is needed?

  26. Calculus

    A sheet of cardboard 25 cm by 40 cm will be made into an open-topped box by cutting equal-sized squares from each corner and folding up the four edges. what will be the dimensions of the box with the largest volume?

  27. Pre-Calc

    An open box is formed by cutting squares out of a piece of cardboard that is 22 ft by 27 ft and folding up the flaps. What size corner squares should be cut to yield a box that has a volume of less than 235 cubic feet? I know that the size corner squares

  28. calculus

    1. A sheet of cardboard 3 ft. by 4 ft. will be made into a box by cutting equal-sized squares from each corner and folding up the four edges. What will be the dimensions of the box with largest volume?

  29. Algebra

    Identical squares are cut off from each corner of a rectangular piece of cardboard measuring 7cm by 12cm. The sides are then folded up to make a box with an open top. If the volume of the box is 33cm^3, what is the largest possible length of each side of

  30. 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

  31. PRE-CALCULUS

    AN OPEN BOX IS FORMED BY CUTTING SQUARES OUT OF A PIECE OF CARDBOARD THAT IS 16 FT BY 19 FT AND FOLDING UP THE FLAPS. WHAT SIZE CORNER SQUARES SHOULD BE CUT TO YEILD A BOX THAT HAS A VOLUME OF 175 CUBIC FEET

  32. Basic Calculus

    A piece of cardboard measuring 14 inches by 8 inches is formed into an open-top box by cutting squares with side length x from each corner and folding up the sides. FIND: 1). a formula for the volume of the box in terms of x 2). the value for x that will

  33. math

    An open topped box can be created by cutting congruent squares from each of the 4 corners of a piece of cardboard that has dimensions of 20cm by 30cm and folding up the sides. Determine the dimensions of the squares that must be cut to create a box with a

  34. 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

  35. Pre-Calc

    An open box with a volume of 1500cm^3 is to be constructed by taking a piece of cardboard of 20 cm by 40 cm, cutting squares of sides length x cm from each corner and folding up the sides. Show that this can be done in two different ways, and find exact

  36. math.....need help

    Solve the problem. An open box is to be made from a rectangular piece of tin by cutting two inch squares out of the corners and folding up the sides. The volume of the box will be 100 cubic inches. Find the dimensions of the rectangular piece of tin.

  37. Calculus

    A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out squares of length h from the corners and folding up the sides. Find the value of h that maximizes the volume of the box if A = 7 and B = 12

  38. Engineering

    A box with an open top is to be made from a square piece of cardboard by cutting equal squares from the corners and turning up the sides. If the piece of cardboard measures 12 in on the side, find the size of the squares that must be cut out to yield the

  39. calc

    by cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, the cardboard may be turned into an open box. if the cardboard is 16 inches long and 10 inches wide, find the dimensions of the box

  40. calculus

    a rectangular piece of cardboard that measures 4 by 3 inches is to be formed into a rectangular box by cutting squares with length x from each corner and folding up sides. Find the volumes of the box in terms of x

  41. algebra

    rectangular open-topped box is made from a 9 x 16 piece of cardboard by cutting x-inch squares out of each corner and folding up the sides. What size square should be cut out to produce a volume of 120 cubic inches?? I set it up with 120 = (16-2x)(9-2x)(x)

  42. math

    a piece of cardboard is twice as it is wide. It is to be made into a box with an open top by cutting 2-in squares from each corner and folding up the sides. Let x represent the width (in inches) of the original piece of cardboard. a.Represent the length of

  43. 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

  44. maths

    an open box of rectangular base is to be made from 24 cm by 45cm cardboard by cutting out squares sheets of equal size from each corner and bending the sides.find the dimensions of the corner squares to obtain a box having largest volume.

  45. Calculus

    Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 3 ft by 4 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this

  46. 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

  47. Calculus

    A box with an open top is to be made from a square piece of cardboard by cutting equal squares from the corners and turning up the sides. If the piece of cardboard measures 12 cm on the side, find the size of the squares that must be cut out to yield the

  48. Pre-Calc

    I am having a great deal of difficulty with this problem. An open box is formed by cutting squares out of a piece of cardboard that is 16 ft by 19 ft and folding up the flaps. a. what size corner squares should be cut to yield a box that has a volume of

  49. GRADE 12 APPLIED MATH

    The Problem You are given a piece of cardboard that is 6 inches by 4 inches. You would like to cut equal-sized squares out of each of the 4 corners and fold the cardboard in such a way to make an open-top rectangular box. Part A: Complete the table below:

  50. calculus optimization problem

    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 30 inches long and 14 inches wide find the dimensions of the box that will yield the

  51. math

    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 16 in. long and 6 in. wide, find the dimensions of the box that will yield the maximum

  52. Calculus

    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 16 in. long and 10 in. wide, find the dimensions of the box that will yield the maximum

  53. math

    An open box is made from a rectangular piece of cardboard, with dimensions of 24 cm by 30 cm, by cutting congruent squares from each corner and folding up the sides. Determine the dimensions of the squares to be cut to create a box with a volume of 1040 cm

  54. Math

    a tray with a square base is to be made from a square piece of cardboard by cutting 5 inch squares from each corner and folding up the sides. If the box is to hold a volume 520 cubic inches, find the length of the piece of cardboard that is needed.

  55. math

    a tray with a square base is to be made from a square piece of cardboard by cutting 5 inch squares from each corner and folding up the sides. If the box is to hold a volume 520 cubic inches, find the length of the piece of cardboard that is needed.

  56. Pre-Calc

    A box with a square base and no top is to be made from a square piece of cardboard by cutting 6 in. squares from each corner and folding up the sides. The box is to hold 11094 in cubed. How big a piece of cardboard is needed? ___in. by ___ in.

  57. 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

  58. 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

  59. Math

    A box with an open top is to be made by cutting 5-inch squares from the corners of a rectangular piece of cardboard whose length is twice its width and then folding up the remaining flaps. Let x represent the width of the original piece of cardboard;

  60. Pre cal

    A box with a square base and no top is to be made from a square piece of carboard by cutting 8 in. squares from each corner and folding up the sides. The box is to hold 7200 in. How big a piece of cardboard is needed?

  61. pre calculus

    A box with a square base and no top is to be made from a square piece of carboard by cutting 5 in. squares from each corner and folding up the sides. The box is to hold 23805 in3. How big a piece of cardboard is needed?

  62. calculus

    A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in. squares from each corner and folding up the sides. The box is to hold 16128 in3. How big a piece of cardboard is needed? ?in by ?in

  63. calculus

    A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in. squares from each corner and folding up the sides. The box is to hold 7500 in3. How big a piece of cardboard is needed? ?in by ?in

  64. Algebra 104

    1. A square piece of cardboard measuring 60 inches on a side is made into a rectangular box by cutting identical squares from the four corners and then folding up the flaps. Let represent the length of the side of the discarded square. Write a formula for

  65. algebra

    An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out. a)

  66. math

    An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out. a)

  67. 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

  68. 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

  69. 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

  70. pre calc

    A box without a lid will be constructed from 75 cm x 100 cm piece of cardboard, by cutting squares of the same size from each corner, and folding up the sides. What is the approximate volume of the largest possible box that can be constructed?

  71. chemistry

    A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in. squares from each corner and folding up the sides. The box is to hold 16128 in3. How big a piece of cardboard is needed? Your answer is ?in by ?in Ooops, I

  72. Calculus

    Snacks will be provided in a box with a lid (made by removing squares from each corner of a rectangular piece of card and then folding up the sides) link to image imageshack com /a/img661/6094/fZUQXg.jpg You have a piece of cardboard that is 40cm by 40 cm

  73. Calc

    You want to make a rectangular box, open at the top, by cutting the same size square corners out of a rectangular sheet of cardboard and then folding up the sides. The cardboard measures 10 in. by 12 in. What are the dimensions of the box that will have

  74. Math

    The length of a piece of cardboard is two inches more than its width. an open box is formed by cutting out 4 inch squares from each corner and folding the sides. If the volume of the box is 672 cubic inches, find the dimensions.

  75. Math

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

  76. College Algebra

    a box with an open top is constructed from a rectangular piece of cardboard with dimensions 14 inches by 18 inches by cutting out and discarding equal squares of side x at each corner and then folding up the sides as in the figure. The cost to create such

  77. Calculus

    Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 37ft by 20 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this

  78. 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

  79. calculus

    Help!!! A rectangle piece of cardboard twice as long as wide is to be made into an open box by cutting 2 in. squares from each corner and bending up the sides. (a) Express the volume V of the box as a function of the width W of the piece of cardboard (b)

  80. math

    A box with no top is to be constructed from a piece of cardboard whose width measures x cm and whose length measures 6 cm more than its width. The box is to be formed by cutting squares that measure 2 cm on each side from the four corners, and then folding

  81. calculus

    My brother wants to make an open-topped box out of a 4x 6 square foot piece of card board by cutting identical squares from the corners and folding up the sides. What is the dimension of each square he will cut out of each corner in order to max the volume

  82. pre calc

    An open box is formedby cutting squares out of a peice of cardboard that is 18 feet by 26 feet and folding up the flaps. What size corner squares should be cut to yield a box that has a volume of 250 cubic feet

  83. math 12

    $identical\:squares\:are\:cut\:from\:each\:corner\:of\:a\:rectangular\:piece\:of\:cardboard,\:7\:cm\:by\:10\:cm.\:The\:sides\:are\:then\:folded\:up\:to\:make\:a\:box\:with\:an\:open\:top.\:If\:the\:volume\:of\:the\:box\:is\:25\:cubic\:centimeter,\:how\:lon

  84. precalculus

    a rectangular piece of cardboard measuring 14 inches by 27 inches is to be made into a box with an open top by cutting squares of equal size from each corner and golding up the sides . let x represent the length of a side of each square. for what value of

  85. 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

  86. Math

    You want to create an open rectangular box from a rectangular piece of cardboard. The cardboard has length 14 in and you want to cut 2 in squares from each corner. Draw a diagram. What is the length of the box?

  87. Precalculus

    From a rectangular piece of cardboard having dimensions a × b, where a = 40 inches and b = 70 inches, an open box is to be made by cutting out an identical square of area x2 from each corner and turning up the sides (see the figure). Express the volume V

  88. Math / Factoring

    Imogene wants to make an open-top box for packing baked goods by cutting equal squares from each corner of an 11 in. by 14 in. piece of cardboard. She figures that for versatility the area of the bottom must be 80 in.^2. What size square should she cut

  89. Algebra

    I have about 3 homework problem that I am stuck on! please help me. #1: The area of a rectangle is 16, and its diagonal is \sqrt{68}. Find its dimensions and perimeter. (x^2)+(y^2)=\sqrt{68} (x^2)+(y^2)=8.246 xy=16 y=16/x (x^2)+(16/x)^2=8.246

  90. Calculus

    An open box is to be made from cutting squares of side "s" from each corner of a piece of cardboard 25" by 30". Write an expression for the volume, V, of the box in terms of s. -I have no idea where to start on this. I know V=lwh (length*width*height), but

  91. Maths

    An open cardboard box is to be made by cutting squares of side x cm from each corner of a card of side 60cm and folding the resulting "flaps" up to form the box. Find the value of x that gives the box a maximum capacity.

  92. Math

    An open box is to be made from a 10-ft by 14-ft rectangular piece of sheet metal by cutting out squares of equal size from the four corners and folding up the sides. what size squares should be cut to obtain a box with largest possible volume?

  93. 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

  94. calculus

    You are planning to make an open-top box from an 12 in by 12 in piece of cardboard by cutting congruent squares from the corners and folding up the sides. What are the dimensions (of the 3 sides) of the largest volume you can make this way?

  95. math

    open top rectangular box made from 35 x 35 inch piece of sheet metal by cutting out equal size squares from the corners and folding up the sides. what size squares should be removed to produce box with maximum volume.

  96. College Algebra ..Please help

    I have about 5 homework problem that I am stuck on! please help me. The first of 5 is: A rectangular garden is 20 ft longer than it is wide. Its area is 8000 ft{}^2. What are its dimensions? Im not even sure where to start with this one. Next #2: The area

  97. 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

  98. Algebra 2

    A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. the box is formed by cutting squares that measures 4 inches on each sides from 4 corners and then folding up the sides. If the volume of

  99. Math

    Can you please help with this geometry question. An open box is formed from a square piece of material by cutting 2-in squares from each corner of the material and folding up the sides. If the volume of the box that is formed is to be 72 in cubed, what was

  100. math

    you want to make an open-topped box from a 20 cm by 20 cm piece of cardboard by cutting out equal squares from the corners and folding up the flaps to make the sides. what are the dimensions of each square, to the nearest hundredth of a cm, so that the

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