@ 6,000 b 2,000 500 O 1,500

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

A:

Q: The corner cupboard shown below has 3 circular shelves that each have 270° of usable space. If…

A: Although the figure is not shown, we will solve using the given data.

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

A:

Q: 9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 4√108…

A:

Q: 9) The great pyramid in Egypt has a square base with a side length of 250 ft and a height of 481…

A: It is given that the base is square with side, a=250 ft and height is, h=481 ft.   Artificial model…

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

A:

Q: 8. A box is being designed in the shape of a rectangular prism. Its length is 14 inches and its…

A: Explanation and solutions is given below....

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) Sandy has recently begun kickboxing and purchased training equipment as modeled in the diagram…

A: To find the total weight of the training equipment

Q: 3. An open rectangular box w/ square ends to hold 6400 cu ft, is to be built at a cost of Php 75.00…

A: Given: An open rectangular box  square ends to hold 6400 cu ft,Cost for base end = Php.75Cost for…

Q: 7. If a cylinder has a surface area of 60 square inchess and a diameter of 3 inches, what is its…

A: Given :  Surface area of cylinder = 60 sq. Inches Diameter (2r ) = 3 inches

Q: A contractor has to build rectangular pool 12 meters long and 8 meters wide. The pool must, by…

A: Given: Length of pool = 12 meter Breadth of pool = 8 meter  The area of rectangular border must be…

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: 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: A cylindrical standpipe is to contain 343,000gallons of water. If the height is to be twice its…

A:

Q: A window is being built and the bottom is a rectangle and the top is a semicircle. If there is 12…

A:

Q: 2. An open rectangular box w/ square ends to hold 6400 cu ft, is to be built at a cost of Php 75.00…

A: Consider the given information. Let's consider that x is the side of the base and h is the height.…

Q: 7. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.

A: The objective of the question is evaluate the dimensions of the rectangle for larger area.   we have…

Q: A cosmetics company is determining the price of the package they will use for their new line of eye…

A: The given question can be solved as shown in step2

Q: (c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: (i) It is given that the length of the rectangular pool is 12 m and width is 8 m and the area is 12…

Q: 6. Marcus is constructing a rectangular pricm using exactly 96 cm² of cardboard. will have the…

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: 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: 2. A closed rectangular box that would enclose 36 cubic centimeters is to have a base whose length…

A: Given a closed rectangular box having a volume V=36 cm3 length of the box is twice its width, let…

Q: 2 The altitude of the great Pyramid of Cheops in Egypt originally was 480 ft. and its square base…

A:

Q: A right rectangular prism has a length of 2 1/2 feet, a width of 3 feet and a height of 1 1/2 feet.…

A:

Q: A contractor has to build rectangular pool 12 meters long and 8 meters wide. The pool must, by…

A:

Q: $0.10/cm^2 to reinforce the can's shape, two metal wires of equal length will each be bent into a…

A:

Q: 2) A pile of sand poured out onto Teds driveway into coniral shape. Ted wants to know if he can fit…

A: pile is of 4 ft wide and 1.5 ft high Therefore, radius = 42=2 ft height = 1.5 ft

Q: ' If there are 1 4 cu. ft. in a capacity ( in bushels ) of a hopper in the shape of an inverted…

A:

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

A:

Q: 3. The cross-section of a tunnel, 50 meters in length is in the form of a rectangle 8 m wide and 4 m…

A:

Q: 1. A bike has wheels with radius 1.5 feet and a front sprocket with 36 teeth. a) If the rear…

A: We need to use sprocket ratio to find speed of bike  Note : according to guidelines maximum 1…

Q: 4. If the length of the diagonal of a rectangular box must be L, what is the largest possible…

A:

Q: A rectangula plot of land is to be seeded with grass. If the plot is 16 m by 12 m and a 1kg bag of…

A:

Q: 5. A trapezoidal gutter is to be made, from a strip of metal 22 inches wide by bending up the edges.…

A: Solution of above question is shown below

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: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: i) Given that, the length of the pool is 12 meters and 8 meters wide, the are of the pool should be…

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: 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: A shipping container is in the shape of a right rectangular prism with a length of 1.5 feet, a width…

A: Pounds and lbs are both the same. So the answer is 95 lbs.

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide.  The pool must, by…

A: Consider the equation

Q: 6. Find the dimensions of a rectangle with an area of 225 cm’, whose perimeter is as small as…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 4) The foundation of a house is 13 m by 7 m. If the builder increases each dimension by the same…

A:

Q: 4. A rectangular sheet of metal with dimensions 20 cm by 15 cm is to be used to create an open top…

A: According to given, Height of the box(h)= x Length of the box(l)= 20-2x Width of the box(b)= 15-2x…

Q: Give the dimensions of a rectangular aquarium 30 cm high that holds 42 liters of water. ..... Choose…

A:

Q: Suppose you have a rectangular pyramid with a base length of 4.5 in, a width of 7 in, and a pyramid…

A: Base length of pyramid:= 4.5 in Width of pyramid:= 7 in Height of pyramid:= 16 in   Now:          If…

Q: 19) Find the volume of a rectangular pyramid which has length equal to half its width, a base area…

A: To find the volume of a rectangular pyramid which has length equal to half its width, a base area of…

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 .