A country's postal service will accept a package if its length plus its girth (the distance all the way around) does not exceed 78 inches. Find the dimensions (in inches) and volume (in cubic inches) of the largest package with a square base that can be mailed.   Length ___in Base___ in x_______in Volume___ inch^3

Q: Enclosing the Largest Area The owner of the Rancho Grande has 3,012 yd of fencing with which to…

A:

Q: If 1000 square centimeters of material is available to make a box with a square base and an open…

A:

Q: a box is shaped like a rectangular prism.the volume of the box is 640 cubic centimeters the area of…

A:

Q: If 1200 square centimeters of material is available to make a box with a square base and an open…

A: Let x be the length of the side of square base and x be the width of the box y be the height of the…

Q: An Olympic size pool has a length of 50 meters (m) to accommodate long-course races. Its width is 25…

A:

Q: An open-top box with a square base is to have a volume of 108 cubic inches. Find the dimensions of…

A: Let the length of each side of the base= x  Height= y So the volume of the box=x2y=108 From it we…

Q: 7. A rectangular fence has four sides. Three sides are made from a single strand of barbed wire. The…

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

Q: A country's postal service will accept a package if its length plus its girth (the distance all the…

A: Given that length plus girth doesn't exceed 90 inches means maximum value of length plus girth is 90…

Q: An open-typed rectangular box is to be made from a piece of cardboard 24 cm long and 9 cm wide by…

A: The volume of a cuboid or a rectangular ox is: V=l×b×h Where, l is length. b is breadth. h is…

Q: 5. The length of a rectangle garden is 3 m longer than 3 times its width. The area is 90 m2. Find…

A: Let's find.

Q: A rectangle with a solid edge is 90 wide and 30 tall. A square is at each corner. The length and…

A: Area of rectangle = length x width Volume of rectangular container = length x width x height Given:…

Q: An open rectangular box is to be made from a piece of cardboard 8 inches wide and 15 inches long by…

A:

Q: A total of 9 square feet of material is to be used to make a box with a square base and an open top.…

A: Follow step 2 .

Q: A farmer wishes to fence off a rectangular field with 1000 ft of fencing. If the long side of field…

A: Here is the solution of the given problem. Application of derivative. Maximum and minimum.  Critical…

Q: Find the surface area of Earth’s moon if it’s radius is 1,000 km. An aquarium is 50 centimeters…

A:

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

A:

Q: cylindrical standpipe is to contain 400,000 liters. If its height is to be twice its diameter, what…

A:

Q: A square is cut out of each corner of a rectangular sheet of aluminum that is 30 cm (length) by 60…

A:

Q: A farmer wants to enclose two adjacent goat pens beside his barn (see figure below). The wall of the…

A:

Q: The volume of a rectangular box is x3 + 16x2 + 83x + 140 cm³. The box is (x+5) cm long and (x+7) cm…

A:

Q: A farmer wants to enclose two rectangular areas along a river , one for cattle and the other for…

A: It is given the farmer has 270 yd of fencing in all.Let l be the length and w be the width.From the…

Q: A gardener has 1080 feet of fencing to fence in a rectangular garden. One side of the garden is…

A: x=shorter side y=longer side total fencing length is 1080 feet in this case, the perimeter is given…

Q: 5. What number exceeds its square by the maximum amount?

A:

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: A rectangular piece of sheet metal is 5 inches  shorter than it is wide. From each corner, a 2 x 2…

A:

Q: A square with a side length of a= 6 inches, draw the golden rectangle with its dimensions and  find…

A:

Q: 5) A rectangular wall is 4x - 5 units high and 2x +7 units long. Find the area of the wall in square…

A: We can use the concept area of rectangle in order to solve the given problem.

Q: An open box can hold 80 cm³. It is made from a square piece of tinplate with 3 cm squares cut from…

A: To determine the dimension of the original piece of tinplate.

Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r.…

A: Consider the provided information, Now, draw the graph of the circle with radius r.

Q: Construction A box is being constructed by cutting 2-inch squares from the corners of a square sheet…

A: given: A box is being constructed by cutting 2-inch squares from the corners of a square sheet of…

Q: A child-sized swimming pool can be modeled by a cylinder. The pool has a diameter of 6– feet and a…

A: Volume of the cylinder can be calculated by multiplying Area of base (circle) of cylinder and height…

Q: A farmer wants to fence a rectangular area and then divide it in half with a fence parallel to one…

A: The farmer has a total of 900 feet of fencing We have to find largest area the farmer can enclose.

Q: A box with an open top is to be constructed from a piece of cardboard that is a square with side…

A: Let the dimensions of the cut out square be x by xThe new dimensions of length and breadth will be…

Q: etermine the dimensions of a rectangle whose area is 100 square meters and has a perimeter of 44…

A:

Q: A rectangular playground is to be fenced off and divided into two parts by a fence parallel to one…

A: A rectangular playground is to be fenced off and divided into two parts by a fence parallel to one…

Q: The width of a rectangular table is 2.4 feet less than its length. If the area of the table is 11.3…

A: NOTE: Refresh your page if you can't see any equations. . the length of the table is x feet and the…

Q: the area of the squares are growing by 1 square unit. determine the side length of each square

A: the side length of each square is determined as shown below

Q: (1 point) A rectangle has an area of 370 square inches and a width which is three inches less than…

A:

Q: Parcel Post Regulations Postal regulations specify that a parcel sent by priority mail may have a…

A:

Q: A rectangular wooden walkway in a city park has a length of 50 ft and a width of 10 ft. The city…

A: Here we have to find the dimensions of the walkway in different scenarios. Here current walkway is…

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: Vignesh owns a cottage in the shape of a cube with each edge of length 26 feet. The roof is in the…

A: Given : Vignesh owns a cottage in the shape of a cube with each edge of length 26 feet. The roof is…

Q: A rectangular room is 3 times as long as it is wide, and it's perimeter is 40 meters. Find the…

A:

Q: A large plywood box has a volume of 180 ft3. Its length is 9 ft greater than its height, and its…

A: The volume of the large plywood box is V = l*b*h, where l is length, b is width and h is height.

Q: 5. Originally, a rectangle was twice as long as it was wide. 4 meters were added to its length and 3…

A: Area of rectangle = l × b Where l is length and b is width of rectangle .   Note - (As you asked…

Q: A large plywood box has a volume of 12 ft3. Its length is 4 ft greater than its height, and its…

A:

Q: A shed has the shape of a rectangular prism. The area of the floor of the shed is 63 square feet.…

A: Let L, W, and H denotes the length, width and height respectively. Given that the area of the floor…

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.

Q: A rectangular canvas picture measures uniform width of the frame. nches by 6 inches. The canvas is…

A: Given, length of canvas,l = 12 inch.             breadth of canvas,b = 6 inch. After framing it with…

Q: triangle with a base of 20 inches and a height of 24 inches is cut from a rectangle measuring 60…

A: Our objective is to find the remaining area.