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The base of a pyramid is a regular hexagonal side 2a cm. If each slant height of this pyramid is 5a2 cm long. The volume of the pyramid is?

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Important Questions on Mensuration & Area

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The base of a right prism is an equilateral triangle whose area is 173 cm2. The volume of the prism is 10380 cm3. Thus. the area of its lateral surfaces is?
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The perimeter of the triangular base of a prisrm is 15 cm, and the radius of incircle inscribed in this triangle is 3 cm long. If the volume of the prism is 270 cm3, the height of the prism is?
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If each side of a regular tetrahedral is 12 cm long, its volume is?
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The base of a right pyramid is a square whose side  40 cm long. If the volume of pyramid is 8000 cm3, its height is?
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The base of a right prism is a trapezium whose parallel sides are 8 cm and 14 cm long and the distance between them is 8 cm. If the volume of the prism is 1056 cm3, its height is?
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The base of a right pyramid is a square whose side is 16 cm. If the height of pyramid is 15 cm. The area of the lateral faces of pyramid is in cm2 is?
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After painting each surfaces of a cube whose side is 6 cm long is cut into cubes with unit edges, number of cubes whose none of the surfaces is painted is?
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UPSC CDS
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A sector of a circle is formed by opening a cone whose radius is 8 cm and height is 6 cm long. Thus the radius in cm of the sector of the circle is?