Subjects geometry

Volume Rectangular Prism D275B6

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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.