Question

which of the following is a counterexample for this conditional statement? if a three - dimensional solid has six faces, then it is a cube. a cube a rectangular pyramid a sphere a rectangular prism

Explanation:

A counter - example is an example that shows a conditional statement is false. The conditional statement is “If a three - dimensional solid has six faces, then it is a cube”.

• A cube has six faces and is a cube, so it does not disprove the statement.
• A rectangular pyramid has \(5\) faces (\(1\) base and \(4\) triangular faces), so it does not apply.
• A sphere has \(0\) faces, so it does not apply.
• A rectangular prism has six faces (top, bottom, front, back, left, right) and is not a cube (a cube has all edges equal, a rectangular prism has length, width, and height that can be different). So a rectangular prism is a counter - example.

Answer:

a rectangular prism