Subjects algebra

Tower Volume 4A0Bfc

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1. The problem asks which expression represents the volume of the tower. 2. Volume of a cube or rectangular prism is calculated by the formula $$\text{Volume} = \text{length} \times \text{width} \times \text{height}$$ or for a cube $$\text{Volume} = s^3$$ where $s$ is the side length. 3. The options given are: A. $5(10)^3$ B. $10(5)^3$ C. $10 + 5^3$ D. $5 + 10^3$ 4. Since the volume involves cubing a dimension, options C and D which use addition are unlikely to represent volume. 5. Option A is $5 \times 10^3 = 5 \times 1000 = 5000$. 6. Option B is $10 \times 5^3 = 10 \times 125 = 1250$. 7. Without additional context, if the tower's base is $10$ units and height is $5$ units, then volume is $10 \times 5^3$ which matches option B. 8. The fraction $\frac{25}{125} = \frac{1}{5}$ near the question might hint at a ratio but does not change the volume formula. Final answer: Option B, $10(5)^3$ represents the volume of the tower.