To determine the capacity of the hole in Charlie's new shape, we need to start by analyzing the original shape and the hole within it.
1. **Understanding the Original Shape**:
- We need to know the dimension of the original shape and identify how much of it is occupied by cubes, leaving us with the hole's dimensions.
2. **Stacking the Shapes**:
- Charlie stacks up three of these shapes, so the dimensions of the hole in his new shape will be affected by this.
3. **Capacity Calculation**:
- First, find the volume (capacity) of the hole in one shape.
- Then, multiply the volume (capacity) of the hole by three since there are three shapes stacked together.
**Step-by-Step Instructions**:
### Step 1: Analyze the Original Shape
Assume the original shape is a solid figure with an internal cavity or hole. The hole's volume should be calculated by subtracting the volume of the cubes from the total volume of the shape.
If you could provide a diagram or dimensions, it would help be more precise. However, I'll assume some typical dimensions for the sake of illustrating an approach.
### Step 2: Simplifying Assumptions
Assume the original shape is a cuboid with edges aligned to be easy to stack. Suppose each shape is `3 cm x 3 cm x 3 cm` (an illustrative assumption), and there's a cubic hole in the center with dimensions `1 cm x 1 cm x 1 cm`.
### Step 3: Calculate the Volume of the Hole in One Shape
1. Volume of the original shape = \(3 \text{ cm} \times 3 \text{ cm} \times 3 \text{ cm} = 27 \text{ cm}^3\).
2. Volume of the cubic hole = \(1 \text{ cm} \times 1 \text{ cm} \times 1 \text{ cm} = 1 \text{ cm}^3\).
### Step 4: Net Volume of Solids in One Shape
Thus, the volume of the solid part of one shape = \(27 \text{ cm}^3 - 1 \text{ cm}^3 = 26 \text{ cm}^3\).
### Step 5: Stack Three Shapes
Since Charlie stacks three of these shapes, the hole now has a combined capacity due to the three holes stacked lengthwise.
### Step 6: Combined Capacity of the Hole in the New Shape
- Volume of the hole in one shape = \(1 \text{ cm}^3\).
- For three stacked shapes, volume of the hole = \(1 \text{ cm}^3 \times 3 = 3 \text{ cm}^3\).
### Final Capacity
Thus, the capacity of the hole in Charlie’s newly formed shape by stacking three smaller shapes with central holes is \(3 \text{ cm}^3\).
If the initial dimensions or shapes differ in reality (as could be provided with further diagram clarity), the approach remains the same but numerical values might differ.
The shape shown is made up of centimetre cubes.
Charlie stacks up three of these shapes to make a new shape.
What is the capacity of the hole in Charlie’s new shape?
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