To solve this problem, we need to understand the definitions and properties of cuboids and cubes:
- A cuboid is a three-dimensional shape with six faces, all of which are rectangles. Typically, the lengths of the edges can differ from each other.
- A cube, however, is a special type of cuboid where all faces are squares and all three dimensions (length, width, height) are equal.
Given these definitions:
- Every cube is a cuboid because it satisfies the requirement of having six rectangular faces (which are squares).
- However, not every cuboid is a cube because a cuboid does not need to have equal side lengths. In many cases, cuboids have different side lengths, which disqualifies them from being cubes.
Therefore, we can conclude that the statement "every cuboid is a cube" is false. There are many cuboids that are not cubes because they lack the property of equal side lengths.
Thus, the correct answer to the problem, "Is every cuboid a cube?" is no.