A box, open at the top, is to be made from a square piece of cardboard by cutting a square out of each corner and turning up the sides. Given that the cardboard measures 40 cm on a side, what is the maximum volume? a. 2370.4 cm3 c. 4000.0 cm3 b. 3270.4 cm3 d. 4740.7 cm3

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: A box with a s ware base and no top is to have avolume (surtace a ) 3. of 4cm. Find Hhe least anmont…

A:

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

A: Consider two containers which are in the shape of a cylinder.  Dimensions of container A: Diameter…

Q: An open box will be made by cutting a square from each corner a 5-ft by 8-ft piece of cardboard and…

A:

Q: A standard elevator in a midrise building can hold a maximum weight of about 3 2/3 tons. Assuming an…

A: We first convert tons into pounds

Q: Find the dimensions of a rectangle with area 1,331 m2 whose perimeter is as small as possible. (If…

A: Area of a rectangle is 1331 m2, whose perimeter is small as possible.

Q: Suppose an open box with a rectangular base is to be constructed from a rectangular piece of…

A: GivenRectangular piece of cardboard width (b)=18 inchesRectangular piece of cardboard length (l)=20…

Q: A delivery company wants to come up with a package box that has a square base and a volume of 40…

A: Given, Let's assume the side of the square base = a Height of the box  = h Volume = area of  base *…

Q: A rectangular campsite on the shore of a lake is to be surrounded on three sides by a narrow, 90-m…

A:

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

A: Given thatContainer (A) has a radius(R)=10 ftHeight (H)=18 ft

Q: A lont strip of sheet metal 12 inches wide is to be made into a small trough by turning up two sides…

A: Let x be the sides and B is the base. Perimeter is 12. The cross section of the area is given by…

Q: If a cube has edges that are each three times as long as a second cube, then its volume will be 27…

A:

Q: 2. Find the dimensions of a rectangle with an area of 225 square cm, whose perimeter is as small as…

A:

Q: Suppose that postal requirements specify that parcels must have length plus girth at most 84 inches.…

A: Length + girth = 84 inches. Here, length = h girth = 4x so, we write h+4x=84.........(1)

Q: From a thin piece of cardboard (10 inch by 10 inch ) square corners are cut out so that the sides…

A:

Q: A Norman window is constructed by adjoining a semicircle to the top of a rectangular window, as…

A: Perimeter of Norman window(P)=Perimeter of rectangle(P1)+Perimeter of…

Q: 1.) pedro wishes to use vooft of fencing to enciose a Rectangular garolen. Determine the Maximum…

A:

Q: The base of a right prism is a rectangle. If the rectangle has dimensions 2 x 3, and the prism has a…

A:

Q: If 1200 cm? of material is available to make a box with a square base and an open top, what is the…

A: according to our guidelines we can answer only first question and rest can be reposted.

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: A cylindrical chemical storage tank with a capacity of 1000 is to be constructed and stood upright…

A: Given dimensions of warehouse is 12m by 15m and has a height of 11m and a cylindrical chemical…

Q: If a city water supply has a limit of 250 ppm of nitrate ion, what is the maximum amount of nitrate…

A: Given: A city water supply has a limit of 250 ppm of nitrate ion. Find the maximum amount of nitrate…

Q: A box with no lid is made by cutting 4 squares of side lenght x from each corner of an 18 cm by 35…

A: After cutting side length x from each side length be l  , l=18-2x breadth be b , b=35-2x height be h…

Q: From a 50-cm-by-50-cm sheet of aluminum, square corners are cut out so that the sides can be folded…

A:

Q: Find the dimensions of a rectangle with area 1,728 m² whose perimeter is as small as possib m…

A:

Q: A rectangular display in a furniture store needs walls on three sides only, with 6-foot openings on…

A: Given, The display needs to have floor space of 450 ft2. Used formula - Area of rectangle = Length…

Q: A farmer wants to fence in two rectangular corrals, equal in area, using an inner fence as shown in…

A: Given;

Q: Find the dimensions of a rectangle (in m) with area 216 m whose perimeter is as small as possible.

A: Let x be the length and y be the width of rectangle, Perimeter P=2(x+y), Area A=xy Given A=216…

Q: Suppose a weight is to be held 10 feet below a horizontal line AB by a wire in the shape of Y. If…

A:

Q: An oil refinery is located on the north bank of a straight river that is 2 km wide land to a point P…

A: Refinery located on north bank cost $200,000/km over the land at point P on north bank to construct…

Q: A country with one of the highest population densities is San Wan​, where approximately 34,000…

A: Population density is the number of people divided by the size of the area. Here, number of…

Q: Building Play Area

A:

Q: What is the maximum volume of an open box that can be made from a square piece of cardboard, 10in on…

A:

Q: Of all rectangles with area 400 in2, what are the dimensions of the one with the minimum perimeter?…

A:

Q: A box is formed by cutting squares from the four corners of a 8"-wide by 10"-long sheet of paper and…

A: Length of the long sheet L = 10'' Width of the long sheet W = 8'' The side of the square cutting…

Q: 1. find the dimenstors of a maximum Lwithout a top of capacity, 108 sq. cm. box who de Sunface area

A:

Q: Suppose 2700 cm² of material is available to make a box with a square base and open top. a) Show…

A:

Q: A manufacturer wants to design an open box having a square base and a surface area of 108 square…

A:

Q: A manufacturer has an order for 20,000 megaphones. The megaphones, conical in shape, are to be 2…

A: This question is about a conical object formation. So, we have to use volume formula of cone having…

Q: A square piece of green origami paper that is 6 inches on a side is being made into a gift box (with…

A: Maximizing the surface.

Q: The top and bottom margins of a poster are a cm and the side margins are each b cm. If the area of…

A: First draw the figure accordingly and solve:

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

A:

Q: Suppose an open box with a rectangular base is to be constructed from a rectangular piece of…

A: To find the maximum possible volume of the box in cubic inches

Q: a box with square ends of side x and a length L is to be made such that L+4x=4 meters. The dimension…

A:

Q: Find the edge of a cube if its total area is numerically equal to three times its volume.

A:

Q: Find the dimensions I x w of a rectangle with area 850yds. whose perimeter is as small as possible.…

A:

Q: The dimensions of a closed rectangular box are measured as 21 cm, 17 cm and 11 cm, respectively with…

A:

Q: If 4,800 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

A:

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

A: