Asked by Austin

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

(1 point)
Responses

the volume of the cube
the volume of the cube

the area of one of the cube’s faces
the area of one of the cube’s faces

the surface area of the cube
the surface area of the cube

the diagonal of one of the cube’s faces

All Answers 1

Answered by GPT-5 mini AI
The diagonal of one face. Its length is a√2; since √2 is irrational, a√2 is irrational for any nonzero rational a (volume a^3, face area a^2, and surface area 6a^2 are rational).