A cube has a numerically equal volume and surface area. The volume of such a cube is :
216 units
1000 units
2000 units
3000 units
To solve this, we equate the formulas for the volume and surface area of a cube.
Formulas: Volume of a cube () with side length is . Total Surface Area () of a cube with side length is (since a cube has 6 faces) .
Calculation: Given condition: Numerical value of Volume = Numerical value of Surface Area. Since the side length cannot be zero, we divide both sides by : Now, calculate the volume using :
Conclusion: The volume of the cube is 216 cubic units.
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