You are constructing a cardboard box from a piece of cardboard with the dimensions 4 m by 8 m. You then cut equal-size squares from each corner so you may fold the edges. What are the dimensions (in m) of the box with the largest volume? 4 m 8 m shorter side longer side m helght m

Q: 4. A gift box for a perfume bottle is in the shape of a pyramid with a rectangular base. The…

A: Consider the provided question, According to the given question the line diagram of the pyramid is…

Q: Find the dimensions of a rectangular prism whose volume is (x4 ‒  y4) units3.

A: Given, Volume of rectangular prism is  (x4 ‒  y4) units3.   And according to definition; Volume of…

Q: Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from…

A: This question is based on Mensuration chapter.

Q: 6.A rectangle has length 2v45 m and width 3v32 m. What is the area of the rectangle? Express your…

A: Given length =245 m,   width =332m

Q: You are planning to make an open rectangular box from an8-in.-by-15-in. piece of cardboard by…

A: Let h - side length of a corner square.…

Q: Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from…

A:

Q: 3. Gina has one-third scale model of a three-dimensional solid, meaning that all lengths of the…

A: The volume of a differential cube of differential  dimensions say breath,lengths  and height dx,dy…

Q: 20) Devins's Doughnuts boxes their doughnuts by the dozen. If the amount of material used to make…

A: To find the material required to make the doughnuts box if the dimensions of box is doubled

Q: #31 You have an 8 x 5 foot piece of cardboard. You are going to make it into a box by first slicing…

A:

Q: 03) Find the largest by cutting volume of box with rectongular little squares no top out of the four…

A:

Q: You are planning to make an open rectangular box from a 10 by 18 cm piece of cardboard by cutting…

A: The function f(x) is a rule that associates or fixes a number to the particular x. Volume is the…

Q: A rain gutter is being installed on a home that has the dimensions shown in the figure below. At a…

A: Here given that a=9, b=12, c=17 and d=30 Here we imagine two rectangles of side a , d and (c-a) , b…

Q: 6. Find the largest possible area of a rectangle of width w and height h, if w + 2h = 12.

A:

Q: A farmer wants to construct a rectangular pigpen using 400 ft of fencing. The pen will be built next…

A: Given, Length of fencing = 400 ft We have to find the dimension of the pen for the largest possible…

Q: Use Polya's four-step problem-solving strategy to solve the following problem. How many different…

A: Given that the area of the rectangle is 120 square units. To determine the number of different…

Q: 5. An open-top box is to be made by cutting squares from a sheet of tin 4 ft. long and 2.5 ft. wide…

A: 5. Given that, An open-top box is to be made by cutting squares from a sheet of tin 4 ft. long and…

Q: Find the dimensions of the rectangle below that has the given area. L=x+11 A 34

A: GIVEN: L = x + 11            W = x - 4             A = 34

Q: Need help with the answer for D.

A:

Q: balls

A: Please refer to the image below

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

A:

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

A: If the squares cut from the corners are  h×h  inches The open-top box will have a height of h a…

Q: Find the dimensions of a rectangle of area 144 ft^2 that has the smallest possible perimeter

A:

Q: 3. The dimensions of a playground shaped like a trapezoid are shown in the diagram. What is the area…

A: Using the formula of area of trapezium we can find the area of playground in sq feet

Q: Diagram shows a certain number of cubes of the same size are arranged to form a bigger cube with 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: Derivative is also used for determining the maximum and minimum values and value points of 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: Two cubes have a scale factor of 3:4. If the volume of the larger cube 320cm^3 is, what is the…

A:

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

A:

Q: You are constructing a cardboard box from a piece of cardboard with the dimensions 4 m by 8 m. You…

A: Volume=length×breath×height

Q: 3 5. The volume of the cube shown is x³ – 5x2 + 6x if one of the dimensions is x, which represents…

A: x3-5x2+6x⇒xx2-5x+6⇒xx2-3x-2x+6⇒xx-3x-2

Q: A rancher wants to construct two identical rectangular corrals using 200 ft of fencing. The rancher…

A:

Q: A rectangular sheet of cardboard 3 m by 8 m is used to make an open box by cutting squares of equal…

A: According to the given question:Length of cardboard = 8mBreadth of cardboard = 3mA square of equal…

Q: 16 in 16 - 2х 30 in 30- 2х

A: Given: Length of the each sides of a box is L=30-2x ; B=16-2x and H=x

Q: The top of a rectangular table has an area of 6y* + 23y + 20 square units. a. Find the dimensions of…

A:

Q: 7. You want to construct a Norman window whose middle is a rectangle and the top of the window is a…

A: Consider the Norman window with the dimensions as shown in the figure. The perimeter of the window…

Q: Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from…

A: To determine the dimensions of the original piece of cardboard.

Q: A rectangular window has a 15-yd diagonal and an area of 108 yd2. Find the dimensions of the window.

A:

Q: 16. As phosphate is mined, it moves along a conveyor belt, falling off of the end of the belt into…

A: The volume of cone is given by πr2h3 where r is radius and h is height of cone. The first longer…

Q: A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the…

A: A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the…

Q: Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from…

A: let x be the original width of the rectangular sheet. Length is 10 more than the width. So ,…

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

A: Given: A square piece of green origami paper

Q: 1. A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a…

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from…

A:

Q: A rectangular box with an open top is to be made from a 5-inch by 8-inch piece of cardboard by…

A:

Q: | 20 yd 80 yd 40 yd An athletic field is a 40 yd - by - 80 yd rectangle, with a semicircle at each…

A:

Q: 1. An amusement park wants to place a new rectangular billboard to inform visitors of their new…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 2) a. Find the volume of a cube with sides of length .r. b. What will be the volume of the cube with…

A:

Q: Two cubes have a scale factor of 5:8. If the surface area of the larger cube 1536cm?, what is the…

A: The volume of the smaller cube is, 1000 cm³    The detailed solution is as follows below:

Q: A rectangular box with an open top is to be made from a 9-inch by 24-inch piece of cardboard by…

A: This question is based on application of derivative.