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Three cubes of volume of are joined end to end. Find the surface area of the resulting figure.
(a)
(b)
(c)
(d)

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Important Questions on Geometry and Mensuration
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A hollow spherical shell is made of a metal of density . If the internal and external radii are and respectively, find the weight of the shell. (Take )

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The largest cone is formed at the base of a cube of side measuring . Find the ratio of volume of cone to cube.

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A spherical cannon ball, in diameter, is melted and cast into a right circular conical mould the base of which is in diameter. Find the height of cone correct up to two places of decimals.

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Find the area of the circle circumscribed about a square each side of which is .

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Find the radius of the circle inscribed in a triangle whose side are and .

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In the given diagram a rope is wound around the outside of a circular drum whose diameter is and a bucket is tied to the other end of the rope. Find the number of revolutions made by the drum if the bucket is raised by .

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A cube whose edge is long has circles on each of its faces painted black. What is the total area of the unpainted surface of the cube if the circles are of the largest area possible?

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The areas of three adjacent faces of a cuboid are . If the volume is , then will be equal to
