1 A Rectangular Tank Mesures 6 Dm Long 5 Dm Wide And 20 Dm Tall What Is The Volume Of The Tank. What Is Asked? Final Answer
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What is Asked?
In this problem, we are given the dimensions of a rectangular tank and asked to find its volume. The tank measures 6 dm (decimeters) in length, 5 dm in width, and 20 dm in height. We need to calculate the volume of the tank using the given dimensions.
Formula for Volume of a Rectangular Tank
The formula for the volume of a rectangular tank is:
Volume = Length × Width × Height
In this case, the length (L) is 6 dm, the width (W) is 5 dm, and the height (H) is 20 dm. We can plug these values into the formula to find the volume.
Calculating the Volume
To calculate the volume, we multiply the length, width, and height together:
Volume = 6 dm × 5 dm × 20 dm
First, we multiply the length and width:
6 dm × 5 dm = 30 dm²
Next, we multiply the result by the height:
30 dm² × 20 dm = 600 dm³
Therefore, the volume of the tank is 600 dm³.
Conclusion
In this problem, we used the formula for the volume of a rectangular tank to calculate the volume of a tank with given dimensions. We found that the volume of the tank is 600 dm³. This calculation can be applied to any rectangular tank with known dimensions.
Final Answer
The final answer is: 600 dm³
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What is the Formula for the Volume of a Rectangular Tank?
The formula for the volume of a rectangular tank is:
Volume = Length × Width × Height
This formula can be applied to any rectangular tank with known dimensions.
Q: What if the tank is not a perfect rectangle?
A: If the tank is not a perfect rectangle, you can still use the formula to calculate its volume. However, you will need to find the area of the base (length × width) and then multiply it by the height.
Q: How do I calculate the volume of a tank with different units?
A: To calculate the volume of a tank with different units, you need to convert all the units to the same unit. For example, if the length is given in meters and the width is given in centimeters, you need to convert the width to meters before calculating the volume.
Q: Can I use the formula to calculate the volume of a cube?
A: Yes, you can use the formula to calculate the volume of a cube. Since a cube has equal length, width, and height, you can simply cube the length (or width or height) to find the volume.
Q: What if I have a tank with a non-uniform shape?
A: If you have a tank with a non-uniform shape, you will need to break it down into smaller rectangular sections and calculate the volume of each section separately. Then, you can add up the volumes of all the sections to find the total volume of the tank.
Q: Can I use the formula to calculate the volume of a tank with a curved surface?
A: No, you cannot use the formula to calculate the volume of a tank with a curved surface. The formula is only applicable to rectangular tanks with flat surfaces. For tanks with curved surfaces, you will need to use more complex formulas or numerical methods to calculate the volume.
Q: How do I round my answer to the correct number of significant figures?
A: To round your answer to the correct number of significant figures, you need to look at the number of significant figures in the given dimensions. For example, if the length is given to 3 significant figures (e.g., 6.00 dm), you should round your answer to 3 significant figures as well.
Q: Can I use a calculator to calculate the volume of a tank?
A: Yes, you can use a calculator to calculate the volume of a tank. Simply enter the length, width, and height into the calculator and multiply them together to find the volume.
Q: What if I make a mistake in my calculation?
A: If you make a mistake in your calculation, you can try to identify the error and correct it. If you are unsure, you can always double-check your work or ask for help from a teacher or tutor.
Q: Can I use the formula to calculate the volume of a tank with negative dimensions?
A: No, you cannot use the formula to calculate the volume of a tank with negative dimensions. The formula is only applicable to tanks with positive dimensions. Negative dimensions do not make sense in this context.
Q: How do I convert the volume from cubic decimeters to other units?
A: To convert the volume from cubic decimeters to other units, you can use conversion factors. For example, to convert cubic decimeters to cubic meters, you can multiply by 0.001 (since 1 cubic meter = 1000 cubic decimeters).
Q: Can I use the formula to calculate the volume of a tank with fractional dimensions?
A: Yes, you can use the formula to calculate the volume of a tank with fractional dimensions. Simply multiply the fractions together to find the volume.
Q: What if I have a tank with a non-standard unit of measurement?
A: If you have a tank with a non-standard unit of measurement, you will need to convert it to a standard unit (such as meters or centimeters) before calculating the volume.