Question

A cube has an edge length that is a rational number of centimeters. Identify which measurement will require the use of irrational numbers? (1 point)

O the diagonal of one of the cube's faces
O the volume of the cube
O the surface area of the cube
O the area of one of the cube's faces

Answer 1

• A) the diagonal of one of the cube's faces

Explanation:

Let the edge be r, a rational number.

Then the following are:

A) The diagonal of one of the cube's faces,

• d = r
  `√(2)`, this is always irrational.

B) The volume of the cube,

• V = r³ - always rational.

C) The surface area of the cube,

• S = 6r² - this is always rational.

D) The area of one of the cube's faces,

• A = r²- this is always rational.