A rectangular solid (with a square base) has a surface area of 121.5 square centimeters. Find the dimensions that will result in a solid with maximum volume. cm (smallest value) cm cm (largest value)

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: 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: A dodecahedron has a total surface area of 330 sq. m, determine its volume in m3.

A:

Q: Find, in terms of π . the volume of a sphere with diameter 12 ft

A: Given that, Diameter=12 ft To find the volume of sphere: Given Diameter=12 ft,  Therefore…

Q: A truncated hexagonal right prism has an average lateral edge of 24 cm. What is the volume of the…

A: Given, A truncated hexagonal right prism has an average lateral edge of 24 cm. We have to find a the…

Q: The numerical value of the volume of a cube equals the numerical value of its total surface area.…

A: Given, The volume of a cube=The surface area of cube To find the length of each edge of the cube.

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: Find the volume and the surface area of a "closed box" that has dimensions of 15 cm, 20 cm, and 0.25…

A: Known fact: For a rectangular closed box with length l, width w and height h, Volume=lwhSurface…

Q: A coned shaped pile of sawdust has a base diameter of 24 feet and if 7 feet tall. Find the volume of…

A: A coned shaped pile of sawdust has a base diameter of 24 feet and if 7 feet tall

Q: The Great Pyramid of Giza has a square base. The length of each side of the base is approximately…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

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

A:

Q: A standard-size bass drum has a diameter of 22 inches and is 18 inches deep. Find the volume of this…

A: Use the given information in the formula V=πr2h...(1)

Q: A jade comb has a mass of 16 grams and a density of 3.2 grams per cubic centimeter. What is its…

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: If 1400 square centimeters of material is available to make a box with a square base and an open…

A:

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

A:

Q: What are the dimensions of the lightest open top right circular cylindrical can that will hold the…

A: Let radius = r cm and height = h cm  So,

Q: A Plastic flower pot in the form of an inverted pyramid has a height of 6 inches whose four edge's…

A: Solved below

Q: Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its…

A:

Q: Find the volume of a cubic packing box with side length of 8.

A: The volume of the cube is a^3, if the length of the each side is a

Q: Find the volume and the total area of a cube with edge 2k

A: Given the edge of the cube is 2k. To find the volume and total area. Volume of cube = a3 Total area…

Q: A swimming pool shaped like a rectangular prism measures 50 meters long, 25 meters wide, and 3…

A:

Q: A sculptor removes a pyramid from a block of wood shaped like a square prism with the same base and…

A: Given, A sculptor removes a pyramid from a block of wood shaped like a square prism with the same…

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: A swimming pool has volume of 1,500 m³ and has a length of 18 m and a width of 14 m. Determine the…

A: We Know that  Volume of a cuboid = length × width × height(depth)  Given  Volume of swimming pool =…

Q: Find the greatest volume that a right circular cylinder can have if it is inscribed in a sphere of…

A: Here we have to find the greatest volume that a right circular cylinder can have if it is inscribed…

Q: Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its…

A:

Q: Find the volume of a regular tetrahedron whose edge measures 10 m.

A:

Q: A square with dimensions 12 cm, 2 cm, 9 cm and a cube have equal volumes. Calculate the edge of the…

A:

Q: Find the volume of a spherical shell whose inner and outer surface area are 95 and 63 square meters,…

A: We will find the volume of the shell.

Q: A cylindrical can has a diameter of 8 inches and a height of 12 inches. Find the volume of the can,…

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: What are the dimensions of the lightest​ open-top right circular cylindrical can that will hold a…

A:

Q: A cone with a radius of 6 centimenters has a volume of 904.78 cubic centimeters. Find the surface…

A:

Q: Find the volume of a cone whose top and bottom diameters are ócm and 10cm and the height is 12cm.*

A:

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

A:

Q: If 1400 square centimeters of material is available to make a box with a square base and an open…

A: Explained below

Q: Find the volume of a hemisphere with a surface area of 192π

A:

Q: Determine the diameter of a cylinder with a height of 20 m and a volume of 663.7 m3

A: Given, Volume of cylinder=663.7 m3 Height of cylinder=20 m   To Determine   Diameter of cylinder

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

A:

Q: Multivariable optimization question

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: 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: Find the volume of the largest sphere that can be submerged in a conical vessel of height 12 inches…

A: The height of the conical vessel is 12 inches and the radius is 7 inches . Now sketch the figure…

Q: The Happy Oatmeal Company created a new cylindrical-shaped container to package their oatmeal.…

A: We will need to recall the formula for calculating the volume of a cylinder.

Q: A box with a square base and no top has a volume of 500 cubic inches. Find the smallest possible…

A:

Q: A clay pot has a density of 2.4 grams per cubic centimeter and a mass of 180 grams. What is its…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A cube has surface area 2646 m². What is its volume?

A:

Q: The surface area of a sphere is 5024 square meters. What is the volume of the sphere?

A: Given, The surface area of a sphere is 5024 square meters.

Q: The square pyramid has a base area of 625 square meters and a height of 30 meters. Find the volume.…

A: It is given that the base area of a square pyramid is 625 square meters. The height of the pyramid…