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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

Respuesta :

mhanifa

Answer:

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

Step-by-step 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[tex]\sqrt{2}[/tex], 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.

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