Geometry

Volume

Volume - Pyramid

         

Suppose the pyramid in the above diagram has a square base with side length 8 cm.8\text{ cm}. If the volume of the pyramid is 320 cm3,320\text{ cm}^3, what is its height in cm?\text{cm}?

If x=6,x=6, y=10y=10 and z=136,z=\sqrt{136}, what is the volume of the rigid body which can be formed by the above planar figure?

Note: The above diagram is not drawn to scale.

If a regular octahedron is inscribed in a sphere with radius r=8,r=8, as shown above, what is the volume of this regular octahedron?

What is the volume of the above tetrahedron with six identical edges of length 5?5 ?

If x=6,x=6, y=16,y=16, and z=11,z=11, what is the volume of the water contained in the box, given that the water just touches the corner at B B. Give your answer in cm3?\text{cm}^3 ?

The above diagram is not drawn to scale.

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