Volume

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 \(\mbox{m}^3\))?

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

The above diagram is a rectangular solid with width \(x,\) length \(y\) and height \(z.\) If \(xy=10,\) \(yz=20\) and \(zx=8,\) 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 \(x=7,\) \(y=4,\) \(z=2\) and \(w=3,\) what is the volume of remaining body?

Note: The above diagram is not drawn to scale.

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

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Volume - Cuboid

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