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Volume, SM-Bank 094

Two identical solid cubes are placed at the bottom of a fish tank.
 

 

The fish tank is then completely filled, as shown below.

What is the volume of the water that surrounds the cubes?

Give your answer in cubic centimetres.  (2 marks)

Show Answers Only

\(185\ 250\ \text{cm}^3\)

Show Worked Solution
\(\text{Volume of tank}\) \(=l\times b\times h\)
  \(=80\times 60\times 40\)
  \(=192\ 000\ \text{cm}^3\)

 

\(\text{Volume of cubes}\) \(=2\times s^3\)
  \(=2\times 15^3\)
  \(=6750\ \text{cm}^3\)

 

\(\therefore\ \text{Volume of water}\) \(=192\ 000-6750\)
  \(=185\ 250\ \text{cm}^3\)