Geometry

Volume

Volume - Cuboid

         

The swimming pool that Calvin goes to is a rectangular prism that has dimensions 20 meters long, 8 meters wide and 3 meters deep. What is the volume of water that the swimming pool contains (in m3\mbox{m}^3)?

In the above diagram, three identical containers A,A, BB and CC contain water reaching heights a,a, bb and c,c, respectively. If the respective water volumes are 12 cm3,12\text{ cm}^3, 20 cm320\text{ cm}^3 and 28 cm3,28\text{ cm}^3, what is the ratio a:b:c?a:b:c ?

The above diagram is a rectangular solid with width x,x, length yy and height z.z. If xy=10,xy=10, yz=20yz=20 and zx=8,zx=8, what is the volume of the rectangular solid?

Note: The above diagram is not drawn to scale.

In the above diagram, a small rectangular cuboid is cut off from a larger rectangular cuboid. If x=7,x=7, y=4,y=4, z=2z=2 and w=3,w=3, what is the volume of remaining body?

Note: The above diagram is not drawn to scale.

If a=9,a=9, b=14b=14 and c=9c=9 in the above diagram, what is the volume of the rectangular cuboid?

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