A rectangular solid (with a square base) has a surface area of 433.5 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: 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: A 216 m2 rectangular pea patch is to be enclosed by a fence and divided into two equal parts by…

A:

Q: A carpenter is building a rectangular room with a fixed perimeter of 228 ft. What dimensions would…

A: Let the length of rectangle be x and breadth be y Then 2(x+y)=228 x+y=114 y=114-x Area A=xy…

Q: find the volume and surface area of a sphere whose diameter is 21 cm

A: find the volume and surface area of a sphere whose diameter is 21 cm?

Q: The altitude of a regular square pyramid is 4 cm. If the volume is 240 cm?. Find the total area of…

A: The volume, V , of a square pyramid is defined by the equation, V=13a2h . The total area, A , of a…

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

A:

Q: Which has the greatest surface area: two pizzas that have 10 inch diameters or one pizza that has a…

A: The diameter of the small pizzas is 10 inch and that of larger one is 20 inch. So, the radius of…

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: Find 3 solids and their measurements whose surface area is 60 square units.

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

Q: Find the volume and the surface area of a “closed box" that has dimensions of 9 in., 10 in., and 1…

A: Given: The dimensions of the closed box are 9in 10in and 1 ft, To find the surface area of the…

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: Find the area of the largest rectangular field that can be enclosed with 600 m of fencing. Assume…

A: Perimeter without one side length =600m

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

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Q: what is the volume of a hollow sphere with a inner radius of 5 and outer radius of 8?

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 cone with a diameter of 6 centimeters and a height of 8 centimers is drilled into a wooden cube…

A: Given that diameter of cone is 6 centimeters so radius of cone  r=3 cm height of cone  h=8 cm Also,…

Q: Find the volume of a right triangular prism whose height is 4 and base is a right triangle with legs…

A: Find the area of base and then multiply the area with height.

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 block has a mass of 50 kg and a density of 8.91 gram per cubic cm. Find the largest area of a…

A: Mass of a block = 50 kg Density of a block =8.91g/cm3 Mentioned dimension are 10m, 12m, 12m.

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: A cylindrical pipe is 5m long and has an inner diameter of 32cm. The thickness of the pipe is 12mm.…

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: 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: 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: 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 dimensions of the largest box with a square base that can be cut from a solid sphere of…

A:

Q: A cylindrical container has a volume of 84 cubic inches and a radius of 3 inches. Find the height of…

A: Given that, volume of the cylindrical container is 84 cubic inches and radius is 3 inches. It is…

Q: Calculate the volume of the regular tetrahedron in the figure knowing that its edge AB=1Ocm.…

A: Given data: edge AB= a= 10 cm

Q: Find the maximum volume of a rectangular box whose surface area is 1600 cm? and whose total edge…

A: By using lagrange multiplier

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 right circular cone has a volume of 128π/3 cm3 and an altitude of 8 cm. The lateral area is

A: Given that

Q: Find the volume of this triangular prism. :)

A: Volume of a triangular prism is calculated by- V=12×b×h×l where b is the base of the prism…

Q: a hemisphere whose radius is 12 inches is surmounted by a right circular lane with the same radius…

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: Find the volume of a sphere with a surface area of 144x in.

A: Given,            The surface area of sphere is 144π in2.To find : Find the volume of sphere.We know…

Q: ron whose edge measures 6 m

A: Given that the edge measure of a regular icosahedron is 6m.

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…