The expression 27−−√3⋅27−−√3
gives the area of the base of a cube with a volume of 27 cubic inches. What is the area of the base, in square inches?
The volume of a cube is given by V = s^3, where s is the length of one side of the cube.
Given the volume V = 27 cubic inches, we can find the length of one side of the cube:
27 = s^3
s = 3 inches
The area of the base of the cube is given by A = s^2 = 3^2 = 9 square inches.