Math Problem Statement
Solution
The diagram shows a partly-filled water tank in the shape of a rectangular prism. The tank has the following dimensions:
- Length = 4 m
- Width = 2.5 m
- Height = 1.8 m
It is stated that one-third of the tank is filled with water. We need to find the quantity of water in litres.
Step 1: Calculate the total volume of the tank.
The formula for the volume of a rectangular prism is:
Step 2: Find the volume of water in the tank.
Since one-third of the tank is filled with water:
Step 3: Convert the volume of water to litres.
1 cubic metre = 1000 litres, so:
Final Answer:
The quantity of water in the tank is 6000 litres.
Do you have any questions, or would you like more details on any step?
Here are 5 related questions you might be interested in:
- How do you calculate the volume if the tank were half-filled instead?
- What if the tank were filled to a different fraction, like one-quarter?
- How does the formula for the volume change for a cylindrical tank?
- What happens if the tank has varying dimensions (e.g., trapezoidal shape)?
- How would you calculate the total volume if the tank were in an irregular shape?
Tip:
Always ensure that units are consistent throughout a calculation—converting to a common unit (e.g., from metres to litres) early in the process can help avoid confusion.
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Math Problem Analysis
Mathematical Concepts
Volume of a rectangular prism
Unit conversion
Formulas
Volume of a rectangular prism = Length × Width × Height
Volume of water = (1/3) × Volume of the tank
Unit conversion: 1 cubic metre = 1000 litres
Theorems
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Suitable Grade Level
Grades 6-8
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