If 30,000 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume (in cm3) of the

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

A: Let heigh of box=h  and base sides of box=a  The surface area of open box is   S=the sum of the…

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

A: We have to find the maximum volume of a box whose surface area is 600cm2 and having squared base(it…

Q: if 900 square centimeters of material is available to make a box with a square base and an open top,…

A:

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: If 19,200 cm2 of material is available to make a box with a square base and an open top, find the…

A: Topic : application of derivative

Q: 4. If 7,500 cm? of cardboard is available to make a box with a square base and an open top. Find the…

A:

Q: If the volume of the box is 252 in^3, find the value of x

A: Recall, Volume of a cuboid = length x breadth x height Hence, 252 = (x + 3)x.6  Or, x(x + 3) = 252/6…

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

A:

Q: Give the dimensions of a box with 5 sides that has a surface area of 300 cm? and holds the largest…

A: Let the dimension of the box is l×b×h, so the surface area of five-sided box is: S=2lb+2bh+lh Given,…

Q: A rectangular piece of metal is 15 in longer than it is wide. Squares with sides 3 in long are cut…

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: If 1,200 cm2 of material is available to make a box with a square base and an open top, find the…

A: An open top square base box has area 1200 cm2.

Q: Find the volume of a pyramid whose base is a square with side L and whose height is H

A: Pyramid: base is a square with side L. base area = L x L = L2 height = H…

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

A:

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

A:

Q: A box with an open top is to be constructed from a square piece of cardboard 2m inches wide, by…

A: Given information: A box with an open top is to be constructed from a square piece of cardboard 2m…

Q: Find the dimensions of the rectangular box with the largest volume if the total surface area given…

A: It is known that the surfaces area for the rectangular box with edges is x,y and z is 2xy+yz+zx and…

Q: If 1200 cm? of material is available to make a box with a square base and an open top, find the…

A: Given, material available = 1200 cm2 Let's assume the sides of the square base = a Height of the…

Q: If the total surface area of a solid right circular cylinder is 200pi sq. cm. and its radius is 5cm,…

A:

Q: A box with an open top is to be constructed from a square piece of cardboard 2m inches wide, by…

A:

Q: a square piece of cardboard is o be used to form a box without a top by cutting off squares, 3 cm on…

A: Let 'x' cm be the length of the square from which 3 cm on a side from each corner is cut  Given…

Q: If 1,200 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: Find the largest volume of a rectangular box with no top made by cutting little squares out of the…

A:

Q: If 1200 cm² of material is available to make a box with a square base and an open top, hnd the…

A: Total area is given so first let the base length is a and height is h .. then make the relation of…

Q: If 1,200 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: Find the height and radius of a cylinder with volume 250pi in^3 and with the smallest total surface…

A: The volume of the cylinder with radius r and height h is V = 250π in3  ⇒ πr2h = 250π…

Q: If 10,800 cm2 of material is available to make a box with a square base and an open top, find the…

A: Let length be x cm and height be y cm.The amount of material is equal to surface area.Surface area =…

Q: If 4,800 cm of material is available to make a box with a square base and an open top, find the…

A: Given 4800 cm^2 of material is available to make a box with a square base and an open top

Q: If 10,800 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: If 8, 664 cm² of material is available to make a box with a square base (and a closed top), find the…

A: Given data- Surface area of box=8,664 cm2. we have to make a box with a square base and a closed…

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: A cube has a volume of 512 in3. Wht is the length of each side of the cube?

A:

Q: If 1200cm^2 of material is used to make a box with square base and open top, find the largest…

A: Box is the open top with the square base, let x be its length and width, and h be its height. Then…

Q: If 10,800 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: If 10,800 cm2 of material is available to make a box with a square base and an open-top, find the…

A: Answer is mentioned below

Q: Find the largest volume of a rectangular box with no top made by cutting little squares out of the…

A: Given rectangle The corners are cut unto little squares Squares have equal side = x mfind : Maximum…

Q: If 2000 square centimeters of material is available to make a box with a square base and an open…

A:

Q: Find the largest volume of a rectangular box with no top made by cutting little squares out of the…

A:

Q: Multivariable optimization question

A:

Q: If 1900 square centimeters of material is available to make a box with a square base and an open…

A: In this question, we want to find the largest possible volume of the given box.

Q: If 4,800 cm2 of material is available to make a box with a square base and an open top, find the…

A: Introduction: - The derivative formula is one of every of the foremost fundamental notions in…

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

A:

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

A: Solve for the largest possible volume

Q: Find the most economical proportions for a covered box of fixed volume whose base is a rectangle…

A:

Q: If 2000 square centimeters of material is available to make a box with a square base and an open…

A: Below is the solution:-

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

A: We have considered each side of the square base is x cm and the height of the box is h cm.

Q: If 4,800 cm2 of material is available to make a box with a square base and an open top, find the…

A: