1. **Stating the problem:** We have a 3D rectangular prism BCDEFGHI with a base BCDE that is a square. The sides BC and DE are given as 12 cm and 8 cm respectively, and the length from D to another point (likely the height) is 25 cm. We need to find the volume of this prism.
2. **Clarifying the shape:** Since BCDE is a square, all sides of BCDE must be equal. However, BC is 12 cm and DE is 8 cm, which contradicts the square property. We assume the base is a rectangle with sides 12 cm and 8 cm.
3. **Formula for volume of a rectangular prism:**
$$\text{Volume} = \text{length} \times \text{width} \times \text{height}$$
4. **Assigning dimensions:**
- Length = 12 cm (BC)
- Width = 8 cm (DE)
- Height = 25 cm (distance from D to the top face)
5. **Calculate the volume:**
$$\text{Volume} = 12 \times 8 \times 25$$
$$= 96 \times 25$$
$$= 2400$$
6. **Answer:** The volume of the prism is 2400 cubic centimeters.
Volume Rectangular Prism D275B6
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.