A cylindrical tin can is to be manufactured that will hold a certain volume V. If materials for the ends of the can are twice as expensive as materials for the sides, what shape of can is most economical to manufacture.

Q: A piece of wire 10 ft long is cut into two piece. One piece is bent into the shape of a circle and…

A: The area of a circle is πr2 , where r is the radius of the circle . The area of a square is a2 where…

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

A: According to the figure consider the figure of the given situation,

Q: A company produces a​ standard-size U.S. flag that is 3 ft by 5 ft. The company also produces a​…

A: Given Data: The length of the longest side of the short flag is: l=5 ft The length of the shortest…

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

A: Consider the given statement. Let x be the border of the pool. Draw a rough diagram for the given…

Q: a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard…

A: Given Information -  Squares with sides of length x are cut out of each corner of a rectangular…

Q: A square pyramid and a triangular pyramid each have a base that measures 36 square inches. The…

A: Given  There is a square and triangular pyramid both have 36 square inches area of base and volume…

Q: A dog trainer has 92 ft of fencing that will be used to create a rectangular work area for dogs. If…

A: The rectangular work area for dogs has fencing of length 92 ft. The area enclose by rectangular work…

Q: e top and bottom margin of a poster are 6 cm and side margins are each 4cm. If the area of the…

A:

Q: A cube has an edge of length 30. A rectangular solid has edge of lengths 20, 30 and L. If the cube…

A: Given: A cube has an edge of length 30. A rectangular solid has an edge of lengths 20, 30 and L.…

Q: The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular and will…

A: Given- The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular…

Q: Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then…

A: Given problem is : Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular…

Q: A tank with rectangular base and sides and open at the top, is to be constructed so that its depth…

A:

Q: A pencil cup with a capacity of 36 in.3 is to be constructed in the shape of a rectangular box with…

A:

Q: A square pyramid and a triangular pyramid each have a base that measures 36 square inches. The…

A: The Volume of a Square Pyramid Formula is =  13×A1×h1      (A1 = Area of base of square pyramid, h1…

Q: a pencil cup with a capacity of 18in.^3 is to be constructed in the shape of a rectangular box with…

A: The pencil case has square base. Assume the side of the base=x and height of pencil case=y…

Q: p and bottom margins of a poster are each 6 cm and the side's margins are each 4 cm. If the area of…

A:

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A: we should find the height of the rectangle such that the window will admit the most light.

Q: A fence is to be used to entirely enclose a rectangular plot of land with an area at 1600 ft.² It…

A: To show that a 40ft by 40ft rectangle will require the least amount of fencing to enclose the given…

Q: a rectange is 4 inches longer than it is wide. numerically its area exceeds its perimeter by 17.…

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: 9. Find the dimensions of the rectangle that has a length 3 meters more than its width and a…

A: As per bartleby guidelines we're adviced to answer first question at a time, kindly repost the other…

Q: What are the dimensions for the cheapest possible rectangular box with a volume of 56 cm if the…

A: Consider the provided question, Let length of the box = l cm Width of the box = w cm And, height of…

Q: A cylinder has a height of 12 in. and a radius of 4 in. How can you change the radius of the…

A: Given the height of a cylinder h=12inch and radius of the cylinder r=4inch We need to find the…

Q: A wooden rectangular box is to be made of lumber that is 2/3 in. thick. The inside length is to be 6…

A:

Q: A rectangular field is to be enclosed on four sides with a fence. Fencing costs $4 per foot for two…

A:

Q: 2. The width of a rectangular lot is 3 meters less than its length, if the area of the lot is at…

A:

Q: A poster is to have an area of 180 sq. in. with 1 in. margins at the bottom and sides and a 2 in.…

A:

Q: A wire 20 inches long will be cut into two parts, one to be bent to form a square and the other to…

A: We have to find side of Square and diameter of the circle

Q: A cistern is 10ft square and 8ft deep. Fidn the

A: Given: A cistern 10ft square and 8ft deep.

Q: A rectangular field is to be enclosed on four sides with a fence. Fencing costs $4 per foot for two…

A:

Q: A jeweler has three small solid spheres made of gold, of radius 2 mm, 3 mm, and 4 mm. He decides to…

A: Let the radius of large sphere be x. The volume of the large sphere is 43πx3. Model the equation for…

Q: The length of a rectangular garden is 4 ft longer than its width. The garden has a wall along one…

A:

Q: A snack food company has decided to package its new brand of crackers in a box shaped like a…

A: The volume of the box is 108 3/4 cubic inches. Volume=108 34 in3=108.75 in3Width=714 in=7.25…

Q: A fence is to be built to enclose a rectangular area of 280 square feet. The fence along three sides…

A:

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

A:

Q: 4. The length of a rectangular box is 3 ft more than its width and the height is 5 ft more than its…

A: Consider a rectangular box with length l, width w and height h. Then the volume of this rectangular…

Q: A page is to contain 30 square centimeters of print. The top and the bottom margins are 1.5 cm and 1…

A:

Q: A pencil cup with a capacity of 48 in.3 is to be constructed in the shape of a rectangular box with…

A:

Q: A cardboard box with the dimensions of 20*15*5 (lwh), is used by a compnay to package laptops. If…

A:

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

A: Solution is here

Q: For a given box, the height measures 4 m. If the length of the rectangular base is 2 m greater than…

A: The height of the box is 4 m. Length of the rectangular base is 2 m greater than the width of the…

Q: A box with no top is to be constructed from a piece of cardboard whose length measures 10in. more…

A:

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

A:

Q: A factory is to be built on a lot measuring 120 ft by 160 ft. A local building code specifies that a…

A: Given: A factory is to be built on a lot measuring 120 ft by 160 ft. A local building code specifies…

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A: The point where the function will be maximum can be obtained by differentiating the function and…

Q: Mr. Armstrong wishes to build a deck of uniform width around his pool.  The pool is rectangular and…

A: Let the width of the deck be x so the diagram of the pool and deck will be as following We know…

Q: A factory is to be built on a lot measuring 114 ft by 152 ft. A local building code specifies that a…

A: Given: total area of yard and building = 114 ×152 ft2 = 17328 ft2 Now it is given that according to…