Volume Concept Via Decomposing Shapes

Volume Concept via Decomposing Shapes

Volume concepts via decomposing shapes means finding the volume of a complex 3D shape by breaking it into smaller, simpler shapes we already know how to solve. So really, it’s splitting a big shape into easy parts to calculate its total volume.

Break and Add Method

Break the shape into smaller shapes (like rectangular prisms or cylinders).Find the volume of each smaller shape. Add all the volumes together for the total volume.

Example

 A shape is made of two rectangular prisms.

• Prism 1: 4 cm x 3 cm x 2 cm

• Prism 2: 5 cm x 3 cm x 2 cm

• Find the volume of Prism 1 → 4 × 3 × 2 = 24 cm³

• Step 2: Find the volume of Prism 2 → 5 × 3 × 2 = 30 cm³

• Step 3: Add both volumes → 24 + 30 = 54 cm³

So, the total volume is 54 cm³.