Volume Kubus, Balok, dan Prisma Hal 61-71 Bab 2 BANGUN RUANG Kelas 9 SMP Kurikulum Merdeka

Introduction

This tutorial provides a comprehensive guide to understanding the volume of three-dimensional shapes: cubes, rectangular prisms, and prisms. This topic is essential for students in class 9, particularly under the Kurikulum Merdeka, as it forms a foundational aspect of geometry in mathematics.

Step 1: Understanding the Volume of a Cube

To calculate the volume of a cube, follow these steps:

1. Identify the Length of One Side: Let’s denote the side length as 's'.
2. Use the Volume Formula: The formula for the volume (V) of a cube is:

   V = s^3
   

3. Calculate the Volume:
   • If the side length is, for example, 4 cm,
   • Then, V = 4^3 = 64 cm³.

Practical Tip

Always ensure that all measurements are in the same unit before calculating the volume.

Step 2: Understanding the Volume of a Rectangular Prism

For rectangular prisms, the volume is calculated as follows:

1. Identify Dimensions: Let the length, width, and height be denoted as 'l', 'w', and 'h', respectively.
2. Use the Volume Formula: The formula for the volume (V) of a rectangular prism is:

   V = l × w × h
   

3. Calculate the Volume:
   • For instance, if l = 5 cm, w = 3 cm, and h = 2 cm,
   • Then, V = 5 × 3 × 2 = 30 cm³.

Common Pitfall

Ensure you multiply the correct dimensions together; it's easy to mix up length, width, and height.

Step 3: Understanding the Volume of a Prism

Prisms can be of various shapes, but the volume calculation generally follows a similar principle:

1. Identify the Base Area: Calculate the area of the base shape (A).
2. Identify the Height: Let the height of the prism be 'h'.
3. Use the Volume Formula: The volume (V) of a prism is calculated as:

   V = A × h
   

4. Calculate the Volume:
   • If the base area is 10 cm² and the height is 5 cm,
   • Then, V = 10 × 5 = 50 cm³.

Real-World Application

Understanding the volume of prisms is useful in various fields, including architecture and packaging design, where knowing how much space an object occupies is crucial.

Conclusion

In this tutorial, you have learned how to calculate the volume of cubes, rectangular prisms, and prisms using their respective formulas. Remember to always check your units and calculations. For further practice, consider working on problems involving different shapes and their volumes. This foundational knowledge will aid you in more complex geometrical concepts in the future.