Show that the surface area of a closed cuboid with square base and given volume is minimum, when it is a cube

Q: 3) Sketch a right square pyramid with height 4 units and base in the x-y plane as shown. Then state…

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Q: 3. Find the right triangle of largest area inscribed under the parabola y = 4 – r² with its base…

A: Given: y=4-x2 Vertex of the parabola will be at 0,4 and the points where parabola intersect the…

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

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Q: A solid dome is to be constructed with the ellipse x2 + 3y² = 6 as a base. Using infinitely many…

A: Given that  Ellipse x^2+3y^2=6 To find the volume of the solid will generate

Q: Which three dimensional figures when sliced by a plane cannot have a cross section that is a square?

A: When a rectangular pyramid is sliced by a plane then the obtained section will not be square.

Q: Find the volume of the largest parallelopiped with faces parallel to coordinate planes that can be…

A: The volume of the largest rectangular parallelepiped that can be inscribed in the ellipsoid So, The…

Q: Its base is with the y = x ² + 1 parabola, coordinate axes and the line x = 1 When sections…

A: Let R be the given region bounded by y=x2+1, x=1, x=0 and y=0. If S is a solid and suppose that the…

Q: d the volume and the dinata plonac and on

A: Given the surface                   z=10-2x-y2

Q: 6) Find the area of the part of the sphere X² + y² + Z² = 4 that lies within the cylinder X² + y² =…

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Q: 8.G is the centroid of an equilateral triangle ABC with base BC of side 60 cm If GBC is cut from the…

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Q: Prove mathematically that a cylinder with hemispherical ends that has the same volume as a sphere…

A: Let r be the radius of the hemispherical end. Let h be the height of the cylinder. Let r' be the…

Q: A cube of cheese from Italy with edge measure of 1 was cut by Mickey using a plane in a manner that…

A: Let us assume the the cordinates OA= OB= OC= 1

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

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Q: Use Pappus's theorem for surface area and the fact that the surface area of a sphere of radius d is…

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Q: 7. A solid dome is to be constructed with the ellipse x? +3y² = 6 as a base. Using infinitely many…

A: Given - A solid dome is to be constructed with the ellipse x2 + 3y2 = 6 as a base. To find -Using…