Given that a regular polyhedron of n faces is inscribed in a sphere of radius length 6 in., find the maximum (largest) possible volume for the polyhedron.

Q: If a pyramid of base B has its vertex at any point in a plane parallel to and distant h from the…

A: Volume is the space enclosed by the closed surface in 3 dimension.

Q: Find the dimensions of the cone of maximum volume inscribed in a sphere of radius 8 cm. [Note:…

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Q: 2) The volume of an open box with a square base is 4,000 cubic centimeter (cc). Find the dimensions…

A: The volume of an open box with a square base is 4,000 cubic cm.

Q: If a triangular prism has a height of 7 and right triangular base with legs 8 and 10. What is the…

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Q: The cube is 3cm on one edge. Each of these joints A and B is 1cm from the vertex nearest it. If two…

A: This question is based on 3-D volume calculation in whivh two plane cut a wedge from a cube. We got…

Q: Find the total area of a pyramid whose base is a regular octagon with a given edge of 8 inches and…

A: The surface area of the octagonal pyramid is given as:

Q: A pyramid 3 m high has a square base that is 3 m on a side. The cross-section of the pyra- mid…

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

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Q: With a rectangular piece of metal 150cm by 200cm, cut out squares from each corner in order to…

A: I use second derivative method to find dimensions of box where volume maximum

Q: A regular square pyramid has base edge 10 and height 12. Find its total area and volume.

A: The base edge of the square pyramid is given as, b=10. The height of the square pyramid is , h=12.…

Q: The edges at a common vertex of a tetrahedron are perpendicular to each other. The lenghts of these…

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Q: find the volume and surace area of the largest sphere that would fit inside of a cube with the edge…

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Q: The base of a rectangular pyramid has dimensions 6 by 12. The slant heights of the two lateral faces…

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Q: Find the volume and the dimensions of the largest rectangular box in the first octant with three…

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Q: C- An iron tank with a full cover in the form of a parallelepiped with a square base and a volume of…

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