Question

A cube has an edge length, a, that is a rational number of centimeters. Identify which measurement will require the use of irrational numbers

A. The surface area of the cube
B the area of one of the cube 's faces
C.the volume of the cube
D. The diagonal of one of the cube 's faces

Answer 1

[AI-generated answer — Bot GPT 3.5]

The measurement that will require the use of irrational numbers is option D. The diagonal of one of the cube's faces.

Answer 2

[AI-generated answer — Step-by-Step Bot]

The measurement that will require the use of irrational numbers is the diagonal of one of the cube's faces, which is option D. To find the diagonal of a cube's face, we can use the Pythagorean theorem. Since the edge length, a, is a rational number, the diagonal, which is the hypotenuse of a right triangle formed by two edges of the cube, will likely involve square roots and therefore be irrational.