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 surface area of the cube
the surface area of the cube
the diagonal of one of the cube’s faces
the diagonal of one of the cube’s faces
the area of one of the cube’s faces
the area of one of the cube’s faces
the volume of the cube
the diagonal of one of the cube’s faces and the volume of the cube
are you sure
Apologies for the confusion. You are correct, only the diagonal of one of the cube's faces and the volume of the cube will require the use of irrational numbers.
The surface area of the cube and the area of one of the cube's faces can be calculated using the formula A = 6a^2, where a is the edge length of the cube (a rational number).
However, the diagonal of one of the cube's faces can be found using the Pythagorean theorem, which involves taking the square root of a sum of squares, and the volume of the cube can be found by cubing the edge length, both of which may result in irrational numbers.