From the four corners of a rectangular cardboard `38 cm xx 26 cm` square pieces of size 3 cm are cut and the remaining cardboard is used to form an open box. Find the capacity of the box formed.

Answer

To find the capacity of the open box formed from the rectangular cardboard after cutting out square pieces from each corner, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the dimensions of the rectangular cardboard**:
The dimensions of the cardboard are given as 38 cm (length) and 26 cm (breadth).

2. **Determine the size of the squares cut from each corner**:
Each square cut from the corners has a size of 3 cm.

3. **Calculate the new dimensions of the cardboard after cutting the squares**:
- Since we cut 3 cm squares from both ends of the length (38 cm), the new length will be:
\[ \text{New Length} = 38 \, \text{cm} - 3 \, \text{cm} - 3 \, \text{cm} = 38 \, \text{cm} - 6 \, \text{cm} = 32 \, \text{cm} \]
- Similarly, for the breadth (26 cm), the new breadth will be:
\[ \text{New Breadth} = 26 \, \text{cm} - 3 \, \text{cm} - 3 \, \text{cm} = 26 \, \text{cm} - 6 \, \text{cm} = 20 \, \text{cm} \]

4. **Determine the height of the box**:
The height of the box will be equal to the size of the squares cut out, which is 3 cm.

5. **Calculate the volume (capacity) of the open box**:
The volume of a cuboid (which is the shape of the box) is calculated using the formula:
\[ \text{Volume} = \text{Length} \times \text{Breadth} \times \text{Height} \]
Substituting the values we found:
\[ \text{Volume} = 32 \, \text{cm} \times 20 \, \text{cm} \times 3 \, \text{cm} \]
- First, calculate \(32 \times 20\):
\[ 32 \times 20 = 640 \, \text{cm}^2 \]
- Now, multiply by the height (3 cm):
\[ 640 \, \text{cm}^2 \times 3 \, \text{cm} = 1920 \, \text{cm}^3 \]

6. **Final Result**:
The capacity of the open box formed is \(1920 \, \text{cm}^3\).