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Cubes on a Cube

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2


A cube has each of its faces covered by one face of an identical cube, making a solid as shown. The volume of the solid is $875\text{cm}^3$.

What, in $\text{cm}^2$, is the surface area of the solid?









If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
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