An open rectangular box is 22feet long and has a surface area of 96 square feet. Find the dimensions of the box for which the volume is as large as possible.

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 2400 square centimeters of material is available to make a box with a square base and an open…

A: Given information: 2400 square centimeters of material is available to make a box Consider x is the…

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

A:

Q: Find the greatest volume of a rectangular box such that the sum of its length, width, and height…

A: Since you have posted multiple questions, I will solve only the first one as per the policy of…

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: Find the volume of the rectangular prism whose length, width and height are (x + 3) meter, (x – 3)…

A:

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

A: GIVEN - 1700 square centimeters of material is available to make a box with square base and an open…

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

A: Let the side of the square box be x cm and the height of the box be y cm.

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: The base areas of a frustum of a cone are 25 sq.cm. and 16 sq.cm., respectively. If its altitude is…

A:

Q: What is the volume of a cube if the number of cubic units in its volume is twice the number of…

A: Given: If the number of cubic units in its volume is twice the number of squares units in its total…

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: Norman builds a rectangular pig pen with two parallel partitions using 150 meters of fencing…

A: let the length of Pig pen be "a"width be " b" Perimeter=150 metresPerimeter = 2(a+b)…

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: 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 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 1800 square centimeters of material is available to make a box with a square base and an open…

A: If 1800 square centimeters of material is available to make a box with a square base and an open…

Q: The surface area of a rectangular prism is 450m^2. What will be the new surface area if all the…

A: Surface area of rectangular prism is :  SA = 2 ( WL + HL + HW ) Here L = length  W = Width  H =…

Q: If 2100 square centimeters of material is available to make a box with a square base and an open…

A:

Q: Determine the dimensions of a rectangular box, open at the top, having a volume of 32 cubic feet,…

A:

Q: Find the dimensions of a rectangular prism whose volume is (x4 ‒  y4) units3.

A: Given that,                volume, v =  (x4 ‒  y4) units3

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: A rectangular pyramid has a height of 12 meters. The area of the base of the pyramid is 18 square…

A:

Q: A closed box with square base and vertical sides is to be made from 150 square feet of cardboard.…

A:

Q: The Great Pyramid of Egypt almost has a square base with length of side of about 230m. If the height…

A: Given that,  The Great Pyramid of Egypt has a square base with a length of side 230m and the height…

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: In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If…

A: Given that, the sum of the external and internal radii is 14 cm and the width is 4 cm. The height of…

Q: Find the volume of hollow hemispherical shell whose diameters of the internal and external surfaces…

A:

Q: If 2300 square centimeters of material is available to make a box with a square base and an open…

A: Finding the maximum volume by differentiating the volume function

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: A can buoy is to be made of three pieces, namely, a cylinder and two equal cones, the altitude of…

A: A can buoy is to be made of three pieces, namely, a cylinder and two equal cones, the altitude of…

Q: A rectangular building has a base that is 298 ft long, 298 feet wide, and the building is 60 ft…

A: Please find the volume of building l = 298 ft b = 298 ft h = 60 ft

Q: Karla has 1200 cm² of material available to make a box with a square base and an open top. Find the…

A: According to question given:Karla has 1200 cm2 of material available to make a box with a square…

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

A:

Q: Find the dimensions of a box with largest volume whose surface area is 100 cm?.

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: The base of a rectangular prism has dimensions measuring 8 feet by 17 feet. If the volume of 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:

Q: What happens to the volume of a box if the dimensions of the base are doubled?

A: In other words, volume of the box = Area of the base * Height of the box  ...(1) If dimensions of…

Q: If the radius of a sphere is doubled, the area of the sphere is multipliedby____ and the volume is…

A: Consider the given information as If the radius of a sphere is doubled, the area of the sphere is…

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: The diagonal of a cube is 2 /3m. What is the volume of the cube?

A: Given:- The diagonal of a cube is 23m. To find:- Volume of the cube

Q: A company wants to come up with a package box that has a square base a volume of 125 ft?. What…

A:

Q: Find the edge of a cube if its total area is numerically equal to three times its volume.

A:

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: 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: The volumes of two similar solids are 729 m3 and 125 m³. The surface area of the larger solid is 324…

A:

Q: The end of a tough is an isosceles trapezoid of bases 24 inches and 36 inches, and non-parallel…

A: Given that: Bases of the isosceles trapezoid is 24 and 36 inches. Non parallel sides = 18 in, Length…