Subjects geometry

Cube Volume Bdd0Bd

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Question: Cube: The cube has the following dimensions $2000\text{mm} \times 2000\text{mm} \times 2000\text{mm}$ $2000 \text{ mm}$ $2000 \text{ mm}$ $2000 \text{ mm}$ 10. You have been asked to work out the volume that cube can hold. Provide your answer in $m^3$ and write down your formula you used. *
1. **State the problem:** We need to find the volume of a cube with side lengths of $2000\text{ mm}$ each. 2. **Formula for volume of a cube:** $$V = s^3$$ where $s$ is the length of one side of the cube. 3. **Convert units:** Since the dimensions are in millimeters, convert to meters because the volume is requested in cubic meters. $$2000\text{ mm} = \frac{2000}{1000} = 2\text{ m}$$ 4. **Calculate the volume:** $$V = (2\text{ m})^3 = 2^3 = 8\text{ m}^3$$ 5. **Final answer:** The cube can hold a volume of **8 cubic meters** ($8\text{ m}^3$).
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