1. **Stating the problem:** We are given dimensions of a rectangular prism (balok) and a cube (kubus) and need to compare their volumes. 2. **Formulas used:** - Volume of a rectangular prism (balok) is given by $$V = \text{length} \times \text{width} \times \text{height}$$ - Volume of a cube (kubus) is given by $$V = \text{side}^3$$ 3. **Given dimensions:** - Rectangular prism: length = 30 cm, width = 25 cm, height = 20 cm - Cube: side = 25 cm 4. **Calculate volume of rectangular prism:** $$V_{balok} = 30 \times 25 \times 20 = 15000 \text{ cm}^3$$ 5. **Calculate volume of cube:** $$V_{kubus} = 25^3 = 25 \times 25 \times 25 = 15625 \text{ cm}^3$$ 6. **Compare volumes:** Volume of cube is $$15625 \text{ cm}^3$$ and volume of rectangular prism is $$15000 \text{ cm}^3$$. 7. **Ratio of volumes:** $$\text{Ratio} = 15625 : 15000 = \frac{15625}{15000} = \frac{625 \times 25}{600 \times 25} = \frac{625}{600} = \frac{25 \times 25}{24 \times 25} = 25 : 24$$ **Final answer:** - Volume of rectangular prism = $$15000 \text{ cm}^3$$ - Volume of cube = $$15625 \text{ cm}^3$$ - Volume ratio (cube : rectangular prism) = $$25 : 24$$