Length = 20 Cm, Breadth = 13 Cm And Height = 6 Cm​

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Understanding the Problem

In this problem, we are given the length, breadth, and height of a rectangular prism. We need to calculate the volume of this prism using the given dimensions.

Given Dimensions

  • Length (l) = 20 cm
  • Breadth (b) = 13 cm
  • Height (h) = 6 cm

Calculating the Volume

The formula to calculate the volume of a rectangular prism is:

Volume = Length × Breadth × Height

Substituting the given values, we get:

Volume = 20 cm × 13 cm × 6 cm

Performing the Calculation

To calculate the volume, we multiply the length, breadth, and height together:

Volume = 20 × 13 × 6 Volume = 1560 cubic centimeters (cm³)

Interpreting the Result

The calculated volume of the rectangular prism is 1560 cubic centimeters (cm³). This means that the prism has a volume of 1560 cubic centimeters.

Real-World Applications

Calculating the volume of a rectangular prism has many real-world applications, such as:

  • Architecture: Calculating the volume of a building or a room to determine the amount of materials needed for construction.
  • Engineering: Calculating the volume of a container or a tank to determine the amount of liquid it can hold.
  • Science: Calculating the volume of a sample to determine its density or other physical properties.

Conclusion

In this problem, we calculated the volume of a rectangular prism using the given dimensions. We used the formula Volume = Length × Breadth × Height to perform the calculation. The result is 1560 cubic centimeters (cm³). This problem demonstrates the importance of calculating volumes in real-world applications.

Additional Examples

Here are a few more examples of calculating the volume of a rectangular prism:

  • Example 1: Length = 15 cm, Breadth = 10 cm, Height = 8 cm. Calculate the volume.
  • Example 2: Length = 25 cm, Breadth = 18 cm, Height = 12 cm. Calculate the volume.
  • Example 3: Length = 30 cm, Breadth = 20 cm, Height = 15 cm. Calculate the volume.

Solutions to Additional Examples

  • Example 1: Volume = 15 cm × 10 cm × 8 cm = 1200 cubic centimeters (cm³)
  • Example 2: Volume = 25 cm × 18 cm × 12 cm = 5400 cubic centimeters (cm³)
  • Example 3: Volume = 30 cm × 20 cm × 15 cm = 9000 cubic centimeters (cm³)

Tips and Tricks

  • Use the correct formula: Always use the formula Volume = Length × Breadth × Height to calculate the volume of a rectangular prism.
  • Check your units: Make sure to use the same units for all dimensions (e.g., centimeters).
  • Perform the calculation carefully: Double-check your calculation to ensure accuracy.

Conclusion

Q: What is the formula to calculate the volume of a rectangular prism?

A: The formula to calculate the volume of a rectangular prism is:

Volume = Length × Breadth × Height

Q: What are the units of measurement for the dimensions of a rectangular prism?

A: The units of measurement for the dimensions of a rectangular prism can be any unit of length, such as centimeters (cm), meters (m), inches (in), or feet (ft).

Q: How do I calculate the volume of a rectangular prism with mixed units?

A: To calculate the volume of a rectangular prism with mixed units, you need to convert all the dimensions to the same unit of measurement. For example, if the length is given in centimeters and the breadth is given in meters, you need to convert the breadth to centimeters before performing the calculation.

Q: What is the difference between the volume of a rectangular prism and its surface area?

A: The volume of a rectangular prism is the amount of space inside the prism, while the surface area is the total area of all the faces of the prism. The volume is calculated using the formula Volume = Length × Breadth × Height, while the surface area is calculated using the formula Surface Area = 2 × (Length × Breadth + Breadth × Height + Height × Length).

Q: Can I calculate the volume of a rectangular prism with a non-rectangular base?

A: No, the formula Volume = Length × Breadth × Height is only applicable to rectangular prisms with a rectangular base. If the base is non-rectangular, you need to use a different formula or method to calculate the volume.

Q: How do I calculate the volume of a rectangular prism with a fractional dimension?

A: To calculate the volume of a rectangular prism with a fractional dimension, you need to multiply the fraction by the other dimensions. For example, if the length is 3/4 cm and the breadth is 2 cm, the volume would be (3/4) × 2 × Height.

Q: Can I use a calculator to calculate the volume of a rectangular prism?

A: Yes, you can use a calculator to calculate the volume of a rectangular prism. Simply enter the values of the length, breadth, and height into the calculator and multiply them together.

Q: What are some real-world applications of calculating the volume of a rectangular prism?

A: Calculating the volume of a rectangular prism has many real-world applications, such as:

  • Architecture: Calculating the volume of a building or a room to determine the amount of materials needed for construction.
  • Engineering: Calculating the volume of a container or a tank to determine the amount of liquid it can hold.
  • Science: Calculating the volume of a sample to determine its density or other physical properties.

Q: How do I check my calculation for the volume of a rectangular prism?

A: To check your calculation for the volume of a rectangular prism, you can:

  • Recheck your units: Make sure that all the dimensions are in the same unit of measurement.
  • Recheck your calculation: Double-check your calculation to ensure that you have multiplied the correct values together.
  • Use a calculator: Use a calculator to verify your calculation.

Q: What are some common mistakes to avoid when calculating the volume of a rectangular prism?

A: Some common mistakes to avoid when calculating the volume of a rectangular prism include:

  • Using the wrong formula: Make sure to use the correct formula, Volume = Length × Breadth × Height.
  • Not checking units: Make sure that all the dimensions are in the same unit of measurement.
  • Not double-checking the calculation: Double-check your calculation to ensure accuracy.

Conclusion

Calculating the volume of a rectangular prism is an essential skill in mathematics and has many real-world applications. By understanding the formula, units, and common mistakes, you can accurately calculate the volume of a rectangular prism. Remember to use the correct formula, check your units, and double-check your calculation to ensure accuracy.