3. A sheet of cardboard 3ft by 4ft 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?

Q: 2 towns A and B are situated 3km and 4km from a main road as shown in the diagram. Where should the…

A: Let J is x km away from point C. So JD=6-x

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: The solution is given below.

Q: 8. Find the dimensions of a rectangle with area 1000 m² whose perimeter is as small as possible.

A:

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: By cutting six small squares out of a rectangle, as in the picture below, one creates a pattern that…

A: From the figure dimension for the box Length of the box = 3 -2x Width of the box = (4-3x)/ 2    = 2…

Q: Of all rectangles of area 100, which has the smallest perimeter?

A: Given:  Area of rectangle =100     Let x and y  be the base and the height of the rectangle,…

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

A:

Q: 3. Find the dimension of a rectangle with area 1000 m² whose perimeter is as small as possible.

A:

Q: 2. The officer of Oro Vista subdivision planned to build a basketball court with dimension of 30…

A:

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: 15. If 1200 cm² of material is available to make a box with a base and an open top, find the largest…

A:

Q: 4. A manufacturer wants to design an open box having a square base and a surface area of 1200 cm2.…

A: Given:  A manufacturer wants to design an open box having a square base and a surface area of 1200…

Q: 8. A rectangular plot of land is to be seeded with grass. If the plot is 22 m by 28 m and a 1kg bag…

A: Given that, Dimension of rectangular plot = 22 by 28 1 kg bag of seed cover an area of 85 sq m

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: How many square meters of canvass are required for a conical tent 5.5 m high and 3 m diameter if 10%…

A: Here, we need to find the Lateral surface area of the cone with the given measurements. And, the…

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: A large cube is formed from the material obtained by melting three smaller cubes of 3, 2, and 1 cm…

A:

Q: 3. A rectangular yard with an existing stonewall on one side is to be fenced off. If the area of the…

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: 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: 13. The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the…

A: Suppose the dimensions of the poster are, x(length) and y(breadth) of the printed area. Here, given…

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: 7. The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the…

A:

Q: If the area of the base of the octagonal pyramid is 553.12 square feet and the height of the pyramid…

A: The formula for the volume of an octagonal pyramid is one-third of the product of the area of the…

Q: . The local park measures 60 m by 50 m. Part of the park is torn up to install sidewalk of uniform…

A:

Q: a box is made from a tin sheet 7 in. square by cutting out identical squares from each corner and…

A:

Q: 2. Use the fact that 12 oz is approximately 6.897 in to find the dimensions of the 12 oz Coke can…

A:

Q: 1. Find the total area and volume of frustum of regular square pyramid, whose base have sides 10 cm…

A:

Q: 36. A 900 cm' open box is made by cutting 4 cm X 4 cm squares out of each corner of a square piece…

A: The given question has been solved in detail

Q: 14. City college is having a poster contest. The posters must be rectangular in shape, and they must…

A:

Q: 6. Find the area of the largest circular garden which can be made from a triangular lot measuring 5,…

A:

Q: 8. The Toronto Zoo wishes to construct an aquarium in the shape of a rectangular prism such that the…

A:

Q: 2. Carl builds a rectangular pig pen with two parallel partitions using 150 meters fencing…

A: We can solve the given problem by using the second derivative test.

Q: |1. A poster is to have an area of 900cm² with 3cm margins at the bottom and sides and a 5cm margin…

A:

Q: From a square piece of metal, whose side is 27 cm long, an open box with square base is to be made.…

A:

Q: 2. Find the length of the edge of a cube if its length is increased by 6 cm, its width increased by…

A:

Q: 7. A rectangular lot adjacent to a highway is to be enclosed by a fence on all four sides. If the…

A: in the question it is asked to calculate the dimensions of field as given in question. Given values.…

Q: 3). A printer need to make a poster that will have a total area of 200 in? and will have 1 inch…

A:

Q: What is the largest volume of a rectangular box with no top made by cutting little squares out of…

A:

Q: 13. Find the dimensions of a rectangle with area 1000 m² whose perimeter is as small as possible.

A: Given: Area of the rectangle is 1000 m2.

Q: 5. The height of the cube toy box of Terence is 4x? - 3y?, If the volume of the cube is 64x* -27y,…

A: Given:- The height of the cube toy box of Terence is 4x2 -3y². If the volume of the cube is 64x6…

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 .

Q: Find the dimensions of a rectangle (in m) with area 1,331 m² whose perimeter is as small as…

A: