A cubical container of side 14 cm was completely filled with water.Some of the water was poured into an empty rectangular tank measuring 18 cm by 16 cm by 16 cm until it was half full.What was the volume of water left in the cubical container?Express your answer in cubic centimetres.
Question
A cubical container of side 14 cm was completely filled with water.Some of the water was poured into an empty rectangular tank measuring 18 cm by 16 cm by 16 cm until it was half full.What was the volume of water left in the cubical container?Express your answer in cubic centimetres.
Solution
Step 1: Calculate the volume of the cubical container. The volume of a cube is given by the formula side^3. So, the volume of the cubical container is 14 cm * 14 cm * 14 cm = 2744 cubic cm.
Step 2: Calculate the volume of the rectangular tank when it is half full. The volume of a rectangular prism is given by the formula length * width * height. So, the volume of the rectangular tank when it is half full is 0.5 * 18 cm * 16 cm * 16 cm = 2304 cubic cm.
Step 3: Subtract the volume of the water poured into the rectangular tank from the volume of the cubical container to find the volume of water left in the cubical container. So, the volume of water left in the cubical container is 2744 cubic cm - 2304 cubic cm = 440 cubic cm.
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