(a) An open top box will be prepared by removing squares from each corner of the piece of cardboard with sides of 45 cm and 24 cm and folding up the flaps on each side. What size square should be cut from the corners for this box to have the largest volume?

Q: 3. A rectangular pea patch with total area 128 m² is to be enclosed by a fence and divided into…

A: Consider the given rectangular pea patch with dimensions x m by y m. The area of the rectangular pea…

Q: A box is to be made from a square cardboard with length 20 cm in one of its sides by cutting out…

A: Let x be the length of every corner's cut of the square cardboard. Let's first, draw the figure of…

Q: 3. A farmer has 1,200 meter of fencing and wants to fence off a rectangular field that borders a…

A:

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Q: an open box is to be made from a 16cm by 30 cm piece of cardboard by cutting out squares of equal…

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Q: 4. A homeowner wants to enclose three adjacent rectangular pens of equal size along a straight wall.…

A: We have to find the largest area that can be enclosed using only 240 feet of fence

Q: 5.) A box is to be constructed from a square piece of zinc with side 40 in by cutting equal squares…

A: Explanation of the answer is as follows

Q: If an open box is made from a tin sheet 11 in. square by cutting out identical squares from each…

A:

Q: A tank formed into a triangular prism whose base is a right triangle with legs of 8 cm and 6 cm…

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Q: 2. A printer needs to make a campaign poster that will have a total area of 200 in? and will have…

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Q: . A cube has 30 cm on each side, what is its volume in cubic meters?

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: 7. The volume of a certain rectangular prism is (2x3+ x2-22x + 24) cubic units. If the height is…

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: 4. A water tower is built in the shape of a right circular cylinder whose base is 10 meters in…

A: The tower is built in the shape of a right circular cylinder with base diameter 10 meters and…

Q: 7. Find the volume of the largest box that can be made by cutting equal squares out of the corners…

A:

Q: If an open box is made from a square tin sheet 12×12 in. by cutting an identical squares from each…

A: in this question, there is an open box made by 12*12in  tin sheet For the box to be of the largest…

Q: 5- An article will be written on a 24 cm2 part of a paper. Since 1.5 cm from the top and bottom and…

A:

Q: An open-topped box is constructed from a rectangula piece piece of cardboard that is twice as long…

A: An open-topped box is constructed from a rectangular piece of cardboard that is twice as long as it…

Q: Two different types of flat metal sheets will be cut in appropriate sizes and combined to make an…

A: The answer is in step 2

Q: A cardboard box manufacturer wishes to make open boxes from pieces of cardboard 12 cm square by…

A: Assume length of corner cut = x

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A:

Q: 2. You are planning to make an open rectangular box from an 8 cm x 15 cm piece of cardboard. You…

A: An open rectangular box is made from a cardboard.we need to find the dimensions of largest box that…

Q: You are planning to make an open rectangular box from an 11-in.-by-21-in. piece of cardboard by…

A: Given: You are planning to make an open rectangular box from an 11-in by 21-in,piece of cardboard by…

Q: You are planning to make an open rectangular box from an 8-in.by-15-in. piece of cardboard by…

A: Given you are planning to make an open rectangular box from an 8-in.by-15-in. piece of cardboard by…

Q: A rectangular box is to be made from a piece of cardboard 24 cm long and 9 cm wide by cutting out…

A:

Q: 1. A supermarket employee wants to construct an open-top box from a 14 by 30 in a piece four corners…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 1200 cm2of material is available to make a box with a square base and open top, find the…

A: Given:- Material required to  make a box with a square base and open-top = 1200 cm2 Since  a box  is…

Q: A box is formed by cutting squares from the four corners of a 7"-wide by 9"-long sheet of paper and…

A:

Q: 4. A farmer with 160 ft of fence wishes to use the fence to enclose a rectangular area and then…

A:

Q: 5. A sheet of cardboard 3 ft by 4 ft will be made into a box by cutting equal-sized squares from…

A: The volume of the box can be obtained using the formula v=l×w×h. Here, l is the length , w is width…

Q: A pizza box is formed from a 20-cm by 40-cm rectangular piece of cardboard by cutting out six…

A: Derivative of a function is described as the change in variable with respect to another variable.…

Q: The volume of the resulting open top box when identical squares with side x are cut off from the…

A: Given that, the dimensions of the aluminum sheet are three-meter by five-meter. To find: The volume…

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A:

Q: 10) A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

A: Given ,  A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

Q: A box is formed by cutting squares from the four corners of a 7"-wide by 9"-long sheet of paper and…

A: Volume= length*width*height

Q: If an open box is made from a metal sheet 33 in. by 33 in. square by cutting out identical squares…

A: Given information: The length of the square is 33 inches that has been transformed to cuboidal box…

Q: The loose-leaf version of the textbook for this course is being remade. The area of each page within…

A: Given:The area of each page within which there will actually  be print will be 32 inches2 , and each…

Q: 3. A sheet of cardboard 3ft by 4ft will be made into a box by cutting equal-sized squares from each…

A: NOTE: Refresh your page if you can't see any equations. . the length, width, and height of the box…

Q: 1. A box with an open top is to be constructed from a square piece of cardboard 3 feet wide by…

A: Introduction: The volume o the cuboid of side lengths a, b, c is given by, V=a×b×c

Q: 5. A piece of wire 30cm long is cut into two pieces. One piece is bent into a square and the other…

A:

Q: 8. A box with an open top is to be constructed from a square piece of cardboard 3 feet wide by…

A: If you cut out square corners from a 3 ft by 3 ft. square piece of cardboard, the base of the box…

Q: 11. Find the dimensions of the right circular cylinder of greatest volume that can be inscribed in a…

A: The dimensions of the right circular cylinder of the greatest volume that can be inscribed in a…

Q: 1. A 216-m² rectangular patch is to be enclosed by a fence and divided into two equal parts by…

A: To find the material needed.

Q: Abox with a rectangular bottom and no top is to be made from the rectangular pieces of material 40cm…

A: To find: The size of square to cut to obtain the largest volume. Given: The length of rectangular…

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A:

Q: 3. A box with an open top is to be constructed from a 10 inch by 16 inch piece of cardboard by…

A: To find the dimensions of the box.

Q: If an open box is made from a tin sheet 9 in. square by cutting out identical squares from each…

A:

Q: 4. What is the largest area possible for a rectangle whose pe- rimeter is 2021 cm, and what its…

A: Let the length and  breadth of the rectangle are x cm and y cm respectively. Then, area of…

Q: A box (with no top) is to be constructed from a piece of cardboard with sides of length A and B by…

A: If the given figure, 'h' is the height of the box The length of the box is A-2h Width of the box is…

Q: 2. A rectangular sheet of cardboard 8 m by 4 m is used to make an open box by cutting squares of…

A: Volume of cube = a3Volume of cuboid =l×b×hWhere l is length , b is breadth and h is height .