8. Find the dimensions of a rectangle with area 1000 m² whose perimeter is as small as possible.

Q: 14) A rectangular prism has a density of 19 g/cm² and a mass of 4104 grams. What could be a possible…

A:

Q: Given an 8-inch wafer costing $2200 each, with Y, 80%, Y = 98% and die area of 4 x 4 mm², estimate…

A: Solution :-

Q: 2. The officer of Oro Vista subdivision planned to build a basketball court with dimension of 30…

A:

Q: 15. If 1200 cm² of material is available to make a box with a base and an open top, find the largest…

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: A rectangular prism has a height of 11.5 inches, a length of 9.6 inches, and a width of 2.10 inches.…

A:

Q: 7. If 300 cm³ of material is available to make a box with a square base and an open top, find the…

A: Assume side of the square box is x and height is y. Hence, volume of the box is given by…

Q: 1. A farmer intends to make four identical rectangular pens each with an area of 100 m? as shown in…

A:

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: What is the largest possible area such a region can have if its perimeter is to be 20 units?

A:

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

A: Given: Length of pool = 12 meter Breadth of pool = 8 meter  The area of rectangular border must be…

Q: 7. Determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft³, and…

A:

Q: 4. Find the dimensions of a rectangular box with a square base which has a volume of 12 cubic feet…

A:

Q: 7. Determine the measure of an edge of cube whose total surface area is 150in.

A: the total surface area of a cube=6a2

Q: A cardboard box with a square base and an open top is to be constructed from a square of cardboard…

A: The schematic representation is shown below. Since the box is open at the top, the volume of the…

Q: We have 48 m² of material to build a closed box whose base width is 2 times the base length. What is…

A: Let us assume the length (l) of the box be 'x', height (h) be 'y', area 'A' = 48 m2 and volume 'V'.…

Q: 7. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.

A: The objective of the question is evaluate the dimensions of the rectangle for larger area.   we have…

Q: 3. A rectangular yard with an existing stonewall on one side is to be fenced off. If the area of the…

A:

Q: 2. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible? Find…

A: Here we have to find the dimensions of w rectangle with perimeter 100m whose area is as large as…

Q: 13. The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the…

A: Suppose the dimensions of the poster are, x(length) and y(breadth) of the printed area. Here, given…

Q: 4. A farmer with 160 ft of fence wishes to use the fence to enclose a rectangular area and then…

A:

Q: A window is being built and the bottom is a rectangle and the top is a semicircle. If there is 8…

A:

Q: $0.10/cm^2 to reinforce the can's shape, two metal wires of equal length will each be bent into a…

A:

Q: 1. The minimum possible perimeter for a rectangle with an area of 529 m² is

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 5. What is the largest rectangular area a farmer can enclose using 60 meters of fencing material?

A:

Q: 10) A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

A: Given ,  A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

Q: If a cube has a volume of 64. What is it’s edge length

A:

Q: 5. Find the maximum area of an isOsceles triangle whose perimeter is 18 inches.

A: 5) To find out the maximum area of an isosceles  triangle whose perimeter is 18 inches.

Q: 12. Find the volume of a right circular cylinder that can be circumscribed about a cube whose…

A:

Q: 7. Determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft³, and…

A: Given :Volume = 32 ft3

Q: 13. Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

A:

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

A: Let us take x=the width of the tile border. By the agreement, the pool must contain a rectangular…

Q: 2. Carl builds a rectangular pig pen with two parallel partitions using 150 meters fencing…

A: We can solve the given problem by using the second derivative test.

Q: C- An iron tank with a full cover in the form of a parallelepiped with a square base and a volume of…

A:

Q: Determine the dimensions of the rectangle of largest area that can be inscribed in the right…

A: Given the figure:

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

A: i) Given that, the length of the pool is 12 meters and 8 meters wide, the are of the pool should be…

Q: 3. A sheet of cardboard 3ft by 4ft will be made into a box by cutting equal-sized squares from each…

A: NOTE: Refresh your page if you can't see any equations. . the length, width, and height of the box…

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

A: Calculate volume in the following way:-

Q: 1. A 216-m² rectangular patch is to be enclosed by a fence and divided into two equal parts by…

A: To find the material needed.

Q: 13. Find the dimensions of a rectangle with area 1000 m² whose perimeter is as small as possible.

A: Given: Area of the rectangle is 1000 m2.

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

A: Volumes

Q: 9. Find the area of the largest rectangle that fits inside a circle of radius 10.

A:

Q: . A rectangular piece of cardboard measuring 24cm by 30cm is to be made into an open top box by…

A:

Q: 2. Among all rectangles that have perimeter of (54+0) ft, find the dimensions of the one with…

A:

Q: Find the dimensions of a rectangle with area 1728 m whose perimeter is as small as possible. (I both

A: Length of rectangle = 24√3 m  Width = 24√3 m

Q: 2. A rectangle has an area of 100 m?. Find the dimensions of the rectangle that yields the smallest…

A: Given the area of a rectangle is: Now, Formula used : Let the length and breadth of the rectangle…

Q: 6. If 1200 em of material is available to make a box with a square base and open top, find the…

A:

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

A:

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

A: (i) Let x be the width of the border. Given that, the rectangular pool is 12 meters long and 8…