Question

A cube is a 3-dimensional figure with 6 identical square faces as shown.

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The perimeter of one of its faces can be found by multiplying its edge length by 4, the area of one of its faces can be found by squaring its edge length, and its volume can be found by cubing its edge length. Based on this information, which of these represents a non-linear function? Select TWO that apply. (There are only three answer options for this question.)

The perimeter of one of its faces as a function of its edge length.


The area of one of its faces as a function of its edge length.


Its volume as a function of its edge length.

Answer 1

Area and volume.

Perimeter P(l)=4l is linear (degree 1).
Area A(l)=l^2 (degree 2) and volume V(l)=l^3 (degree 3) are non‑linear.