# Face off!

Geometry Level 2

Given a regular tetrahedron with volume $$1 \text{cm}^3$$ and a cube with volume $$1 \text{cm}^3$$, which object has smaller surface area?

Details and Assumptions:

• In a regular tetrahedron, all four faces are equilateral triangles, and

• In a cube, all six faces are squares.

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