# An open top box with a square base is to be made so that it holds 3 cubic feet. Assuming the material on the base costs \$3 per square foot and the material on the sides costs \$2 per square

53,091 results
1. ## maths

The rectangle box with square base is open at the top. The maximum volume of the box made from 1200 m2 tin,in m3 is:

2. ## Calculus

A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box that minimize the amount of material used.

3. ## Calc

A rectangular box, with a square base and open at the top is to be constructed. If the volume of the box needs to be 108 cubic feet, what is the minimum surface area?

4. ## Pre Cal 12

A 12cm by 8cm rectangular piece of metal is to be made into an open-top box by cutting a sqaure from corner and folding up the resulting flaps (sides). If the volume of the lidless box is 36 cm what are the integer dimensions of the box?

5. ## calculus

A container with square base, vertical sides, and open top is to be made from 2700 square feet of material. Find the dimensions (length × width × heigth) of the container with greatest volume.

6. ## Calculus

I actually have two questions: 4. An open box is to be made from a rectangular piece of material 3m by 2m by cutting a congruent square from each corner and folding up the sides. What are the dimensions of the box of the largest volume made this way, and

If 1100 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. I'm supposed to type the answer in cubic centimeters... my answer was 2500 cm^3 but it's wrong... I have also

8. ## PreCal

A square sheet of cardboard 18 inches is made into an open box (there is no top), by cutting squares of equal size out of each corner and folding up the sides. Find the dimensions of the box with the maximun volume. Volume= base(width)height but base + 2H

9. ## Calculus

If 2000 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.

10. ## Math

If 1600 square centimeters of metal is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume = ?

11. ## MATH

An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square of side x inches from each corner and turning up the sides.Graph V=V(x)

12. ## Calculus

A cardboard box of 32in^3 volume with a square base and open top is to be constructed. What is the length of base that will minimize the surface area?

13. ## inermediate algebra

A box with no top is to be made by cutting a 2-inch square from each corner of a square sheet of metal. After bending up the sides, the volume of the box is to be 220 cubic inches. Find The the length of a side of the square sheet of the metal that should

14. ## calculus

If 1300 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.

15. ## Math

If 1700 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume = ?

16. ## Math Calc

If 1500 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume =

17. ## calculus

If 2100 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume = cubic centimeters.

18. ## Calculus

If 2300 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume = i know it's in cubic centimeters. but i'm getting my values wrong

19. ## Math!!

If 1800 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box Volume=____________ I did sqrt(1800)=42.4264 and then 42.4264/3= 14.142 cm then 14.142^(3) and got volume=

20. ## Calculus

An open top box with a square base is to have a volume of exactly 500 cubic inches. Find the dimensions of the box that can be made with the smallest amount of materials.

21. ## MATH

A box with an open top has vertical sides, a square bottom, and a volume of 4 cubic meters. If the box has the least possible surface area, find its dimensions. Length of base= Height=

22. ## calculus

Find the dimensions of the largest rectangular box with a square base and open top that can be made from 300cm^2 of metal.

23. ## Calculus-Applied Optimization Problem

If a total of 1900 square centimeters of material is to be used to make a box with a square base and an open top, find the largest possible volume of such a box.

24. ## CALC

An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 5 dollars per square foot and the cost to construct the four sides is 3 dollars per square foot, determine

25. ## 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?

26. ## Pre Cal

find the surface area of a box of hieght h whose base dimensions are p and q, and that satisfies either one of the following conditions: a) the box is closed. b) the box has an open top. c) the box has an open top and a square base.

27. ## Calculus 1-Optimization

A box with a square base and open top must have a volume of 4,000 cm^3. Find the dimensions of the box that minimize the amount of material used. sides of base cm height cm

28. ## math

A rectangular box with a square base and top is to be made to contain 1250 cubic feet. The material for the base costs 35 cents per square foot, for the top 15 cents per square foot, and for the sides 20 cents per square foot. Find the dimensions that will

29. ## Calculus

If 2000 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.? volume(cubicmeters)=?

30. ## calculus

A container company is tasked to make an open-top rectangular box with a square base. The box must have a volume of 108cm^(3). let the length of the sides of the square base be x cm and the height h cm. (1) what value of x will produce the minimum outer

31. ## Math

An open top box with a square base has a volume of 30ft^3. The total surface area of the box is? a) S.A=x^2-60/x b) S.A=x^2+60/x c) S.A=x^2-120/x d) S.A=x^2+120/x

32. ## calculus

Optimization Problem: There is 300 square feet to construct an open top box with a square base. What dimensions are needed to maximize the volume, and prove that you have found the maximum

33. ## Calculus, Surface Area

An open rectangular box (no top) has a square base with side 10 cm and height 16 cm. The surface area is:

34. ## 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?

35. ## Calculus I

An open box with square base is to be constructed. The material for the base costs \$10 per square foot. The material for the sides costs \$1 per square foot. the box must have an area of 100 square feet. Find the dimensions of the box that minimize cost.

36. ## Calculus

A rectangular box with a square base and top is to be made to contain 1250 cubic feet. The material for the base costs 35 cents per square foot, for the top 15 cents per square foot, and for the sides 20 cents per square foot. Find the dimensions that will

37. ## math

A rectangular box open at the top has a square base. The internal side of the base is x cm long and the total internal surface area of the box is 432cm2. Express in terms of x. (i) the internal height h, of the box; (ii) the internal volume V, of the box.

38. ## math

If 2100 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume(cubic centimeters) =

39. ## Math

You were assigned to construct qn open-top box with a square base from two materials, one for the bottom and one for the sides. The volume of a box is 78 cubic inches. The cost of the material for the bottom is Php 4 per square inch, while the cost of the

40. ## calculus

An open box is to be made. This box is to have a bottom and four sides, but no top. The box is to be made from paper that is 7" by 12". Maximize the volume and find the height.

41. ## calculus

A display case is in the shape of a rectangular box with a square base. Suppose the volume is 21 cubic ft and it costs \$1 per square ft. to build the glass top and \$0.50 per sq. ft. to build the sides and base. If x is the length of one side of the base,

42. ## 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

43. ## 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?

44. ## calculus-max & min

an open box with a square base is to be constructed from 48 square inches of material. What dimensions will produce a box with maximum volume?

45. ## Calculus

A holding pen for fish is to be made in the form of a rectangular solid with a square base and open top. The base will be slate that costs \$4 per square foot and the sides will be glass that costs \$5 per square foot. If the volume of the tank must be 50

46. ## Math

If 12 ft^2 of material is available to make a box with a square base and an open top, find the largest possible volume of the box. 2 ft3 4 ft3 5 ft3 8.5 ft3 9 ft3 the whole ft^2 and ft^3 throws me off..can you help

47. ## Math

You were assigned to construct qn open-top box with a square base from two materials, one for the bottom and one for the sides. The volume of a box is 78 cubic inches. The cost of the material for the bottom is Php 4 per square inch, while the cost of the

48. ## 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

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

50. ## Calculus

An open top box with a square base is to be made so that it holds 3 cubic feet. Assuming the material on the base costs \$3 per square foot and the material on the sides costs \$2 per square foot, determine the size of the base that minimizes the total cost.

51. ## 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

52. ## Pre-Cal

A box with a square base and an open top is constructed from 5400 cm^2 of cardboard. Find the dimensions of the largest possible box. I know the answer is : base lenght - 42.4 cm height- 21.2 cm please help me, thank you so much :)

53. ## Calculus

Q. An open-top box with a square base is to have a volume of 62.5 square inches. What dimensions will yield the box of minimum surface area? I am getting 5" by 2.5" but not sure.

54. ## Calculus -- HELP!

If 1200 square centimeters of material is available to make a box with a square base and open top, find the largest possible volume of the box.

55. ## CALC

If 1700 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.

56. ## math

If 507 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.

57. ## tema senior high school

An open box is to be made using one metre square of cardboard .find the maximum value of the box given that it has a square base

58. ## Calc

a large closed storage rectangular box with a base constructed with two different types of wood. the base is made up of wood \$5 per square feet and the top and sides are made of wood \$3 per square feet suppose the amount available to spend is \$1000 find

59. ## algebra

have 50 sq ft of material to make an open top box with a square base. a) use formula for surface area to express the height h of the box in terms of x. b) find the dimensions of the box that will produce the maximum volume.

60. ## Math - Calculus

You are given 1200 cm^2 of cardboard to make a box with a square base and an open top. Find the largest possible volume of the box.

61. ## maxima/minima problems

A regular box is open at the top and has a square base. To construct the box costs \$4 a square foot for the base and \$3 a square foot for its sides. Find the cost of the least expensive box and the dimensions of this least expensive box. There is not

62. ## homework

please help me with this...a box with a square base and an open top must have a volume of 32,000 cm^3. find the dimesinions for the box that minimize the amount of material used.

63. ## calculus

A box with a square base and an open top is to have a volume of 68in^3 . Neglect the thickness of the material used to make the box, and find the dimensions of the box that would minimize the amount of material used. The width and length of the box are

64. ## Calculus

If 6075 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume=??? cubic cm

65. ## Calculus

A rectangular box with square base (which is NOT necessarily a cube) and NO top is to be made to contain 9 cubic feet. The material for the base costs \$2 per square foot and the material for the sides \$3 per square foot. Find the dimensions that minimize

66. ## word problem

what are the dimensions of the lightest rectangular box without an open top whose base is a square and whose height is two less than the length of the side of the base?

67. ## math

what are the dimensions of the lightest rectangular box without an open top whose base is a square and whose height is two less than the length of the side of the base?

68. ## math

If 2100 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume = cubic centimeters.

69. ## Calculus

A closed box with square base is to be built. the bottom and the top of the box are to be made of a material costing \$2/ft^2, and all four sides are to be made of a material costing \$1/ft^2. what are the dimensions of the box of the greatest value that can

70. ## 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?

71. ## precalculus

Find the dimensions of a square cardboard box (open top) that holds 100 cubic inches and is 4 inches deep?

72. ## 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

73. ## 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?

74. ## 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

75. ## Math

If 1,200 cm^2 of material is available to make a box with a square base and an open top, find the maximum volume of the box in cubic centimeters. Answer to the nearest cubic centimeter.

76. ## pre calc

A cardboard box has a square base and a square top. The height of the box is 13 inches. Express the surface area A (the sum of the areas of all six sides of the box) in terms of the length l of the box. Can someone please help me

77. ## Calculus

Butch is making a closed rectangular box with a square base from two different metals. The top and bottom is made from tungsten which costs \$6/cm^2, and the sides are made from titanium which costs \$32/cm^2. If the box must have a volume of 800cm^3,

78. ## calculus

A rectangular box is to be constructed from two different materials. The box will have a square base and open top. The material for the bottom costs \$4.25/m2. The material for the sides costs \$2.50/m2. Find the dimensions of the box with the largest volume

79. ## math

A box with a rectangular base and rectangular sides is to be open at the top. It is to be constructed so that its width is 8 meters and its volume is 72 cubic meters. If building this box costs \$20 per square meter for the base and \$10 per square meter for

80. ## Math

An open box with a square base is to bemade to organize items in the trunk of a car. It is planned to use an area of 16m square of flexible plastic forthis box. What are the dimensions of the box for max volume?

81. ## Calculus

Given: available material= 1200cm^2 Box w/ square base & open top Find: Largest possible value of the box Can anyone give me a detailed, step-by-step explanation for this problem. I'm studying for an exam and have been working on this for awhile. The help

82. ## math

The height of an open box is 1cm more than the length of a side of its square base.If the open box has a surface area of 96cms,find the dimensions using quadratic equation

83. ## calculus

This is problem 16 Section 4.6 page 246. A closed box with square base is to be built to house an ant colony. The bottom of the box and all four sides are to be made of material costing dollar/sq ft, and the top is to be constructed of glass costing

84. ## maths

a square piece of tin 31cm and20cm is to be made into a box without top,by cutting a square from each corner and folding up the flaps to form the box.what should be the side of the square to be cut off so that the volume of the box is the maximum possible?

85. ## 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.

86. ## calculus

An open box having a square base is to be constructed from 32 square inches of material. What should be the dimensions of the box to obtain a max volume?

87. ## calculus

An open box having a square base is to be constructed from 32 square inches of material. What should be the dimensions of the box to obtain a maximum volume?

88. ## Calculus,math

Constuct a rectangular box with a square base that holds a given volume V0 cm^3.? The cost of the material for the sides is 1 cent per cm^2, while the top and bottom costs 3 cents per cm^2. Find, in terms of V0, the dimensions of the box that will minimize

89. ## Calculus

A box with an open top is to be constructed from a square piece of cardboard, 10in wide, by cutting out a square from each other of the four and bending up the sides. What is the maximum volume of such a box?

90. ## MATH 12

The total surface area of a square-based open top rectangular box is 12 square units. Find the dimensions of the box such that the volume is the maximum.

91. ## math

Anton use a square cardbaord to make an open box.He cut small squares of the same dimension from the corners of the card board then bent the side upward.The length of the sides of the cardboard is 28 cm. A. What expression represents the length of sides of

92. ## Algebra

A rectangular box with the volume 320 cu ft is built with a square base and a square top. The cost is \$1.50/sg ft for the bottom, \$2.50/sq ft for the sides and \$1.00/sq ft for the top. Let x=the lenth of the base in feet. Express the cost of the box as a

93. ## Calculus

1. A rectangular box is to be constructed from 2 different materials. The box will have a square base and open top. The material for the bottom costs \$4.25/m2. The material for the sides costs \$2.5/m2. Find the dimensions of the box with the largest volume

94. ## calculus

An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 5 dollars per square foot and the cost to construct the four sides is 3 dollars per square foot, determine

95. ## maths

two rectangular boxes are each 9 inches tall both boxes have square bases.the base edge of the larger box is 1.5 times as long as the base edge of the smaller box .then how much larger box holds when compared to the smaller box

96. ## calculus

A closed cardboard box is made with a square top and bottom, and a square horizontal shelf inside that divides the interior in half. A total of 12 square meters of cardboard is used to make the top, sides, bottom, and shelf of the box. What should the

97. ## Physics

An open box with a square base (see figure) is to be constructed from 160 square inches of material. The height of the box is 3 inches. What are the dimensions of the box? (Hint: The surface area is S = x2 + 4xh.) 1 . in. (length) × 2 . in. (width) × 3 .

98. ## ap calculus bc

the jewelry box will have rectangular sides and an open top. the longer sides will be made of gold at a cost of \$300/in^2 and the shorter sides will be made from platinum at a price of \$550/in^2. the bottom of the box will be made from plywood at a cost of

99. ## calculus

Find the formula for the described function and state its domain. An open rectangular box with a volume of 8 cubic meters has a square base. Express the surface area of the box as a function of S(x) of the length x of a side of the base.

100. ## calculus

Melissa wants to make a rectangular box with a square base and cover its top and bottom faces with velvet, which will cost her \$3 per square inch, and the sides with silk, which will cost her \$5 per square inch. The box should have a volume of 1600 cubic