2. Find the length of the edge of a cube if its length is increased by 6 cm, its width increased by 12 cm and its height is decreased by 4 cm results in double its volume

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

A:

Q: 3. Find the dimension of the largest rectangle (in terms of area) that can be inscribed in a circle…

A: To Find: the dimension of the largest rectangle ( in terms of area) that can be inscribed in a…

Q: 10. If the length of the top of a rectangular table is 15 inches more than its width and the area is…

A:

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

A: Given:

Q: 3. A farmer has 1,200 meter of fencing and wants to fence off a rectangular field that borders a…

A:

Q: 9) The great pyramid in Egypt has a square base with a side length of 250 ft and a height of 481…

A: It is given that the base is square with side, a=250 ft and height is, h=481 ft.   Artificial model…

Q: If the edge of a cube is doubled, the total area is multiplied by ___ and___the volume is multiplied…

A: For a cube with side length a, its surface area is 6a2 and volume is a3. Now suppose the side length…

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

A:

Q: A photographer decides to reduce a picture she took in order to fit it into acertain frame. She…

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

A: A cube has edges that are each twice as long as a second cube

Q: A piece of wire 19 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Given, A piece of wire 19 m long is cut into two pieces. Part a: Let s be the length of the wire…

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: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

A: In the given question we have to find the value of maximum area that can be enclosed by the fence.

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: 7. Find the volume of the largest box that can be made by cutting equal squares out of the corners…

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: 11. If the radius of a circle is doubled, what happens to its area? What if the radius is tripled?…

A: We know that the area of a circle is given by : Area of circle = πr2 where, r is the radius of the…

Q: 15. The diameter of a standard basketball is 9.5 inches. If the basketballs are covered in rubber,…

A:

Q: 3. A farmer has 600 feet of fencing and wants to fence off a rectangular pasture with two pens. What…

A: Answer

Q: 3. Prove analytically that the sum of the lengths of two sides of a triangle is greater than the…

A:

Q: What is the length of the edge of a cube if itsvolume is doubled by an increase of 6 centimeters in…

A: As the cubes have all the sides equal. So if the side of a cube is a, then the volume of a cube is…

Q: You are planning to make an open rectangular box from an 11-in.-by-21-in. piece of cardboard by…

A: Given: You are planning to make an open rectangular box from an 11-in by 21-in,piece of cardboard by…

Q: 2 The altitude of the great Pyramid of Cheops in Egypt originally was 480 ft. and its square base…

A:

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

A: The volume of the box can be obtained using the formula v=l×w×h. Here, l is the length , w is width…

Q: (b) Consider a square whose side is 1 unit. If the measure of its side is doubled, what will be its…

A: the side of the square is 1 unit. the area of the square is given by Area = side2 substitute the…

Q: 7. The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the…

A:

Q: A piece of wire 21 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Let the length of the wire that is cut for the square be x and length of the wire cut for the…

Q: 36. A 900 cm' open box is made by cutting 4 cm X 4 cm squares out of each corner of a square piece…

A: The given question has been solved in detail

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: 14. City college is having a poster contest. The posters must be rectangular in shape, and they must…

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: If the length of the base of a rectangle is increased by 20 percent but the length of the altitude…

A: Given, The base(Length) of the rectangle is increased by 20 percentage. The altitude(Width) of the…

Q: 4. Find the perimeter of a rectangle whose area is 84 m². The length is 5 m more than its width.

A: Let the length is L and width is b. Given: L=b+5 Area of a rectangle=84m2 As we know that the area…

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

A:

Q: 2. Find the length of a side of a square whose area is the same as that of a rectangle 24 cm by 30…

A: We use Area of square = (side)2 Area of rectangle = Length X Breadth

Q: Construct the following. 1. A square whose side equal to 2.3 cm. 2 A rectangle whose length is equal…

A:

Q: 4. If the area of a rectangle is (x+5x +6) m² and its width is (x+3) m, what is its length?

A:

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: 7. A rectangular lot adjacent to a highway is to be enclosed by a fence on all four sides. If the…

A: in the question it is asked to calculate the dimensions of field as given in question. Given values.…

Q: 1. Construct a segment whose length is twice the length of MN.

A:

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: A piece of wire 15 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Given A piece of wire 15 m long is cut into two pieces. One piece is bent into a square and the…

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: Find the dimensions of a rectangle with area 1,000 m² whose perimeter is as small as possible. (If…

A: According to question,

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

A: