The Real Number System Quick Check

4 of 54 of 5 Items
Question
Use the image to answer the question.

The length, width, and height of a cube are all labeled a.

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 diagonal of one of the cube’s faces
the diagonal of one of the cube’s faces

the volume of the cube
the volume of the cube

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

the area of one of the cube’s faces

3 answers

the area of one of the cube’s faces
Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest?(1 point)
Responses

natural numbers, whole numbers, integers, rational numbers
natural numbers, whole numbers, integers, rational numbers

integers, rational numbers, natural numbers, whole numbers
integers, rational numbers, natural numbers, whole numbers

irrational numbers, square roots, endless decimals, pi
irrational numbers, square roots, endless decimals, pi

rational numbers, integers, whole numbers, natural numbers
rational numbers, integers, whole numbers, natural numbers
rational numbers, integers, whole numbers, natural numbers