$24 is available to make a rectangular storage container with a square base and open top. If the material for the base costs $8 per square meter and material for the sides costs $2 per square meter, find the dimensions of the container with the largest possible volume.

Q: box with no top is to be constructed from a piece of cardboard whose length measures 6 in. more than…

A: First considered length and width and use volume formula of rectangular box

Q: Suppose that we are given a rectangular box with a length of 8 centimeters, a width of 6…

A: Given: The length of a rectangular box is 8 cm, width is 6 cm and height is 4 cm. To find: The…

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: A water tank, open at the top, consists of a right circular cylinder and a right circular cone, as…

A:

Q: A fence is to be built to enclose a rectangular area of 220 square feet. The fence along three sides…

A:

Q: If you design a rectangular raised garden such that the width is three-fourths of the length, and…

A: Given that the garden is rectangular type . The width is three-fourths of the length…

Q: The length of a rectangle is 3 yd less than twice the width, and the area of the rectangle is 44 yd…

A: Given that length of the rectangle is 3 yd less than the twice the width of the rectangle. Area of…

Q: A pyramid tent has a capacity of 240 m3. If the base is 10 m by 8 m, find its height.

A:

Q: 2. A shipping container in the shape of a rectangular solid must have a volume of 84 cubic meters.…

A: The solution to the given question is explained.

Q: You want to build a 1200 square foot rectangular infinity pool. Three of the sides will have regular…

A:

Q: A rectangular solar shipping container has a volume of 84 cubic meters. The client tells…

A: Let the width of the solar shipping container be x meter. Since length is one meter longer than the…

Q: A rectangular piece of metal is 5in. longer than it is wide. Squares with sides of 4in. long are cut…

A: Given: A rectangular piece of metal is 5in. longer than it is wide. Squares with sides of 4in. long…

Q: This year, your family is hosting the family reunion. And for your young cousins, you want to…

A: Given: This year, your family is hosting the family reunion. And for your young cousins, you want to…

Q: Nara wants to determine how much ice it will take to fill her cooler that is in the shape of a…

A: Given data: The length of cooler is l=22 inches. The width of cooler is w=12 inches. The height of…

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: If in a rectangle the length is increased and breadth is decreased by 2 units each, the area is…

A:

Q: A room is half as long again as it is broad . the cost  of carpenting the room at $ 5 per sq meter…

A:

Q: This year, your family is hosting the family reunion. And for your young cousins, you want to…

A: Given Data: The depth of pool is h = 5 ft. The diameter of circular pool is d = 14 ft. The…

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: If 1600 square centimeters of material is available to make a box with a square base and an open…

A: find the explanation below

Q: 3. if 1 square unit = 10 square meters, and 1 liter of paint that costs 200.00 pesos can cover 13.33…

A:

Q: If 1,200 cm^2 of material is available to make a box with a square base and open top, find the…

A: Given surface area of open box=1200cm^2 Now we have to find the largest possible volume As shown…

Q: homeowner has decided to fill in his in-ground pool because it is no longer used. Assume the pool is…

A: Given Dimensions of Pool 20 feet wide (W) 40 feet long (L) 5.5 feet deep (D)

Q: RECTANGULAR PIECE OF METAL IS 10 IN. LONGER THAN IT IS WIDE. SQUARES WITH SIDES 2 IN LONG ARE CUT…

A:

Q: 1. The size of a Tv screen is given by the length of its diagonal. If the dimension of a TV screen…

A:

Q: Marco is making seven open-topped boxes for carrying plants. The boxes are made from rectangular…

A: Given: 7 boxes are to be formed that are open-topped from rectangular pieces of cardboard. Side cut…

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: rectangular lot is 12m long and 5m wide. The outside perimeter of the lot is to be provided with a…

A: Given that a rectangular lot is 12m long and 5m wide. The outside perimeter of the lot is to be…

Q: e a rectangular area of 120 square feet with a fence. One side of road, and fencing for that side…

A:

Q: If the areas of two sections of a garden are 6a + 2 and 5a, what is the difference between the areas…

A:

Q: The sum of the lengths of all edges of a cube is 84 cm. 1.Find the volume V (in cubic centimeters)…

A: Solution: The objective is to find the volume and surface area of the cube

Q: I would like to create a rectangular orchid garden that abuts my house so that the house itself…

A: Proceed as shown below...

Q: Mary is sowing wildflower seeds in a rectangular flowerbed with length 10 yards and width 6 yards.…

A: Rectangular flowerbed: length = 10 yards  width =  6 yards Area of the rectangular flowerbed =…

Q: The height of a square box is 2 in. more than three times the length of a side of the base. If the…

A: let the length of the base = x in. then the width will also be x because it is a square box.…

Q: You have 272 feet of fencing and would like to build a playpen for your two show poodles.  The…

A: We use second derivative test to find largest area dimensions for each poodles

Q: A hole in the side of a large metal tank needs to be repaired. A piece of rectangular sheet metal or…

A: Let us consider the length of rectangle be L and width of rectangle is B The area of rectangle is…

Q: width: 6 in., height: 4 in. B width: 8 in., height: 3 in. C width: 4 in., height: 6 in. width: 3 in,…

A: As we know that the volume of the rectangular prism is:   V=L·W·H   Where, L=Length W=Width H=Height

Q: A woman is considering two companies from which to rent a truck. Triangle Truck Rental charges $25…

A:

Q: A box with an open-top has a square base and four sides of equal height. The volume of the box is…

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: You have 50 cm of wire, and you have to use part of this wire to make a rectangle that’s twice as…

A:

Q: I would like to create a rectangular flower garden next to my house so that the house itself forms…

A: Let the southern border is = y foot and east and west side= x foot  so total cost= 8y+4(x+x)=160…

Q: A fence is to be built to enclose a rectangular area of 250 square feet. The fence along three sides…

A:

Q: You want to build a 1200 square foot rectangular infinity pool. Three of the sides will have regular…

A: Given,           Area of the rectangular infinity pool, A = 1200 ft2           Regular pool walls…

Q: Ricardo wants to cover this 5" by 10" by 8" box with wrapping paper. What is the minimum number of…

A: Solution a: Surface area is s=2lb+2bh+2lh       (1) we have l=5'', b=10'', h=8'' From (1)…

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

A: Take w to be the width and h to be height. Given the area of the printed region is 386 cm2. So,…

Q: The playground is 15 4/5 ft. longer than it is wide. If the perimeter that requires fencing is 177…

A:

Q: 5. The dimensions of a triangular lot are 100 feet by 50 feet by 75 feet. If the price of such land…

A:

Q: Consider the following problem: a farmer with 750 feet of fencing wants to enclose a rectangular…

A: Solution Given A farmer with 750 feet fencing wants to enclosed  a rectangular area and then divide…

Q: A carpenter has 108 sq. ft of lumber out of which he desires to make a box with a square base and…

A: It is given that A carpenter has 108 sq. ft of lumber out of which he desires to make a box with a…