Calculating the volume of combined shapes, or composite figures, can be a fun challenge in Grade 9! Let’s break it down into simple steps you can follow.

Step 1: Identify the Shapes

First, look closely at the shape you're working with. Find the different shapes that make it up.

Some common shapes are:

• Cubes
• Cylinders
• Cones
• Spheres

Step 2: Break It Down

Next, divide the big shape into smaller, easier parts. This makes it much simpler to figure out the volume.

For example, if you have a cylinder sitting on top of a cube, treat them as two separate shapes.

Step 3: Calculate Individual Volumes

Now, use the right formulas to find the volume for each shape.

Here are the formulas you need:

• Cube: Volume = ( s^3 )
  (Here, ( s ) is the length of a side)

• Cylinder: Volume = ( \pi r^2 h )
  (Where ( r ) is the radius, and ( h ) is the height)

• Cone: Volume = ( \frac{1}{3} \pi r^2 h )

• Sphere: Volume = ( \frac{4}{3} \pi r^3 )

Step 4: Add It Up

Once you have the volumes for each shape, just add them together!

For example, if the volume of the cube is ( V_1 ) and the volume of the cylinder is ( V_2 ), then the total volume ( V_{total} ) is:

( V_{total} = V_1 + V_2 )

Step 5: Check Your Work

Finally, don’t forget to double-check your work. Make sure you haven't missed anything!

Now you're all set to show off your skills in calculating the volume of composite figures! Happy calculating!