I have an L shape diagram, Two different heights 6cm and 2 cm, width 4cm and length is 5cm, whats the total volume

To find the total volume of the L-shaped object, we first need to break it down into two rectangular prisms.

### Step-by-step breakdown:

1. **First Rectangular Prism (Taller section):**
   - Height = 6 cm
   - Width = 4 cm
   - Length = 5 cm
   - Volume of this prism:  
   \[
   V_1 = \text{height} \times \text{width} \times \text{length} = 6 \times 4 \times 5 = 120 \, \text{cm}^3
   \]

2. **Second Rectangular Prism (Shorter section):**
   - Height = 2 cm
   - Width = 4 cm
   - Length = (5 cm - 4 cm) = 1 cm (since the length of the L-shape includes part of the first prism's length)
   - Volume of this prism:  
   \[
   V_2 = \text{height} \times \text{width} \times \text{length} = 2 \times 4 \times 1 = 8 \, \text{cm}^3
   \]

3. **Total Volume:**
   \[
   V_{\text{total}} = V_1 + V_2 = 120 \, \text{cm}^3 + 8 \, \text{cm}^3 = 128 \, \text{cm}^3
   \]

Thus, the total volume of the L-shaped object is **128 cm³**.

Would you like further details or have any questions?

### Related Questions:
1. How do you find the surface area of an L-shaped object?
2. What are other ways to decompose an irregular shape into simpler volumes?
3. How does volume change if the dimensions of a shape are scaled by a factor?
4. Can you explain the difference between surface area and volume in 3D shapes?
5. How does the unit of measurement affect the calculation of volume?

**Tip:** Always break complex shapes into simpler components when calculating their volume or surface area.

Learn how to calculate the total volume of an L-shaped object with different heights of 6 cm and 2 cm, a width of 4 cm, and a length of 5 cm. This step-by-step solution breaks down the shape into two rectangular prisms and calculates their volumes, totaling 128 cm³. Suitable for students in Grades 6-8.

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