A rectangular cardboard sheet has length 32 cm and breadth 26 cm. The four squares each of side 3 cm are cut from the corners of the sheet and the sides are folded to make a rectanguler container. Find the capacity of the container.

Answer

To find the capacity of the rectangular container formed by cutting squares from the corners of a cardboard sheet, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the dimensions of the cardboard**:
- Length (L) = 32 cm
- Breadth (B) = 26 cm

2. **Determine the size of the squares cut from the corners**:
- Side of each square = 3 cm

3. **Calculate the new dimensions after cutting the squares**:
- The length of the container after cutting the squares:
\[ \text{New Length} = \text{Original Length} - 2 \times \text{Side of Square} = 32 \, \text{cm} - 2 \times 3 \, \text{cm} = 32 \, \text{cm} - 6 \, \text{cm} = 26 \, \text{cm} \]
- The breadth of the container after cutting the squares:
\[ \text{New Breadth} = \text{Original Breadth} - 2 \times \text{Side of Square} = 26 \, \text{cm} - 2 \times 3 \, \text{cm} = 26 \, \text{cm} - 6 \, \text{cm} = 20 \, \text{cm} \]

4. **Determine the height of the container**:
- The height (H) of the container is equal to the side of the square cut out:
\[ \text{Height} = 3 \, \text{cm} \]

5. **Calculate the volume (capacity) of the container**:
- The formula for the volume of a cuboid is:
\[ \text{Volume} = \text{Length} \times \text{Breadth} \times \text{Height} \]
- Substituting the values:
\[ \text{Volume} = 26 \, \text{cm} \times 20 \, \text{cm} \times 3 \, \text{cm} \]
- Calculating the volume:
\[ \text{Volume} = 26 \times 20 = 520 \, \text{cm}^2 \]
\[ \text{Volume} = 520 \times 3 = 1560 \, \text{cm}^3 \]

### Final Answer:
The capacity of the container is **1560 cm³**.

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