The volume of a cylinder is 900 cubic cm. Find the dimensions in cm that will minimize the surface area of the cylinder.

Q: Find the dimensions of a rectangle with an area of 2568 m^2 whose perimeter is as small as possible.

A:

Q: A rectangle has an area of 180 cm2 and a perimeter of 54 cm. What are its dimensions?

A: We have, a rectangle has an area of 180 cm2 and a perimeter of 54 cm. Let us consider that the…

Q: A rectangular piece of cardboard, whose area is 198 square centimeters, is made into an open box by…

A: Let the length of the box is = x cm  width= y cm.  Given height= 2 cm  So the volume=2xy

Q: Find the dimensions of a rectangle with area 343 m2 whose perimeter is as small as possible.

A:

Q: Find the dimensions of a rectangle with perimeter 68 m whose area is as large as possible. Show…

A: Given:Perimeter of a rectangle is 68 m.

Q: dimensions

A: Please refer to the image below

Q: A closed box, whose length is twice its width, is to have a surface area of 192 sq. inches. Find the…

A: It's a closed box, so it has a top Let ? be the width of the box. Then its length is 2?. And the top…

Q: The circumference of a sphere was determined as 84 cm with a possible error of 0.5 cm. Estimate the…

A: A circle's or sphere's circumference is equal to 6.2832 times its radius. The circumference of the…

Q: An open-top box with a square base is to have a volume of 32 cubic feet. Find the dimensions of the…

A: To determine the dimension of the box which minimize the amount of material used.

Q: A hall is 1 m long and 2 m broad. If the sum of the areas of the floor and the the ceiling is equal…

A:

Q: The length of a rectangular solid is twice the width, and the height is three times the width. If…

A: Given the volume of the solid is 162 cm 3 Let the width of the rectangular solid is x. According to…

Q: What is the largest area possible for a rectangle whose perimeter is 2021 cm and what its dimensions

A: Let the sides of the rectangle are x and y. Then according to the given information…

Q: If a rectangular pool is 15 feet long and 8 feet wide and there are 20 people in the pool; what is…

A: Given, Length of pool l= 15 feet Width of pool w= 8 feet Number of people in the pool = 20

Q: The volume of a rectangular solid is (x³ + 3x² + 2x – 5) cubic cm, and its height is (x + 1)cm. What…

A:

Q: Find the length of the radius and the altitude of the cylinder of greatest volume if the radius…

A: Find the length of the radius and the altitude of the cylinder of greatest volume if the radius…

Q: a rectange is 4 inches longer than it is wide. numerically its area exceeds its perimeter by 17.…

A:

Q: 9. Find the dimensions of the rectangle that has a length 3 meters more than its width and a…

A: As per bartleby guidelines we're adviced to answer first question at a time, kindly repost the other…

Q: If the length of three sides of a trapezium other than base are equal to 10 cm, then find the area…

A:

Q: A cube shaped box has a volume of 125 inches.  If the box is packed full of cubes with edge lengths…

A: Vbigger box = 125  cubic inchEdge length of small cube = 1 inchVolume of one small cube, Vsmall cube…

Q: A poster is to have a total area of 125 square inches with 2-inch margins at the bottom and sides…

A: Find the overall dimensions of the poster that maximizes the poster area.

Q: the length of a side of a cube is equal to the radius of a sphere. which solid has the greater…

A: The length of a side of a cube is equal to the radius of a sphere. Let x be the side of a cube, then…

Q: The lenght of a rectangular bin is 2 ft more than its width and the height is 3 ft less than its…

A: See the details solution in below

Q: If I have a cube that is 1 meter on each side, what is the surface area of one side in square…

A:

Q: The perimeters of the ends of a frustum are 48 cm and 36 cm. If the height of the frustum be 11 xm,…

A:

Q: If a prism has length of x+3, width of x+5 and a height of x+4. What is the total volume of the…

A:

Q: If you double the length of the radius of a sphere from its original length, what effect does that…

A: Given that: Length of radius of a sphere is doubled.

Q: What are the dimensions of a closed rectangular box that has a square cross section, a capacity of…

A: Given, volume of rectangular box is 115 cube inches.

Q: the volume of a rectangular box is 46cm^3, find the side lengths that minimize surface area

A: Please see the explanation below..

Q: The area of the base of a prism can be expressed as x2 + 4x + 1 and theheight of the prism can be…

A: Volume of any solid is given by multiplication of base area and height.

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: Suppose you wanted a flat that would hold 9,000 cubic centimeters of strawberries. What would be the…

A:

Q: The length of a rectangle is 2 m longer than its width. If the perimeter of the rectangle is 24 m,…

A: Let w be the width of the rectangle. Now since the length is 2 m longer than the width, therefore…

Q: In order to properly feed her animals, a rancher needs to enclose a total area of 4704 square feet…

A:

Q: The height of a cylindrical tank is twice its diameter. What is the surface area of the tank if it…

A:

Q: The length of a rectangle is 4 m longer than its width. If the perimeter of the rectangle is 32 m,…

A:

Q: A cardboard box must have a volume of 144m3 and two vertical sides should be square. If the material…

A:

Q: The length of a rectangle is twice its width. If the perimeter of the rectangle is 60 in, find its…

A:

Q: A gardener wants to use 300m of fencing to fence in a rectangular garden with with an area of 5000…

A: Given : Perimeter of rectangular garden = 300m  Area of rectangular garden = 5000 m2   To find :…

Q: An architect needs to design a rectangular room with an area of 89ft2 . What dimension should be use…

A:

Q: A rectangular piece of cardboard, whose area is 168 square centimeters, is made into an open box by…

A: Consider a rectangle  piece of cardboard whose length is x centimeters, breadth y centimeters and…

Q: A dog trainer has 104 ft of fencing that will be used to create a rectangular work area for dogs. If…

A:

Q: For a given box, the height measures 6 m. If the length of the rectangular base is 2 m greater than…

A: Given: length of the box=l=2+width=2+wwidth=w=?   and height=h=6Also…

Q: The dimensions of a rectangular prism can be expressed as x + 1, x − 2, andx + 4. In terms of x,…

A:

Q: A rectangular tile has a length of 4X cm and width (x+3) cm. The area of a reactangle is less than…

A: Area of rectangle

Q: A cone has a volume that is 350 cubic meters. What is the volume of a similar cone that is twice as…

A: Given, Volume of 1st cone = 350 cubic meters To find the volume of a similar cone that is twice as…

Q: A packing box has a volume of 30 cubic inches. How much would a similar box with twice the…

A:

Q: What is the length and width of a rectangle that has an area of 64 square ft and a minimum…

A: let length = x width = y   Area = 64 square ftxy=64y=64x

Q: A box has a volume of 48 cubic inches. If all the dimensions of the box are cut in half, what is the…

A: According to the question:

Q: A piece of wire is shaped to enclose a square whose area is 169 sq. cm. It is then reshaped to…

A: area and perimeter