The surface area of a cube can be found using the formula A = 6s^2 where A represents the surface area of the cube and s represents the length of one edge. My teacher wants me to draw a cube that has a length of at least 5 inches.

Question

She also wants to know the independent variable
Along with notation to show domain and range

A = 6(5 inches)2
6(25 square inches)
150 sq. inches

Don't understand how to write domain and range

Answer 1

clearly, for a physical cube, the sides cannot be zero or negative. So, the domain is all positive real values:

s > 0

So, the range, 6s^2, is also all positive reals,

A > 0

Your teacher has further restricted the domain to

s >= 5
So, the range
6s^2 >= 150

In interval notation, that is
domain: [5,∞)
range: [150,∞)