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If a cube is painted on all six faces and then cut into smaller cubes, how many of the smaller cubes will have paint on exactly two faces?

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In a cube, the smaller cubes with paint on exactly two faces are located on the edges, excluding the corners. A cube has 12 edges.

Which shape will the net of a cube form when folded?

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A net of a cube is a two-dimensional representation that, when folded, forms a three-dimensional cube.

If a pyramid has a square base and is viewed from above, what shape will be visible?

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Viewing a pyramid with a square base from directly above will show a square.

Which three-dimensional shape will you get if you rotate a rectangle around one of its sides?

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Rotating a rectangle around one of its sides forms a cylinder.

If you have a solid block in the shape of a rectangular prism and you remove a smaller rectangular prism from one corner, how many faces will the resulting shape have?

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The original rectangular prism has 6 faces. Removing a smaller rectangular prism from a corner adds one more face, making a total of 7.

Which of the following is a characteristic of a regular tetrahedron?

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A regular tetrahedron has four faces, and all of them are equilateral triangles.

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Which shape can completely fill a three-dimensional space without gaps when tiled together?

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Cubes can tile a three-dimensional space completely without gaps, whereas other shapes like spheres or cylinders cannot.