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example 6 19. geometry the volume for any cube is given by the function…

Question

example 6 19. geometry the volume for any cube is given by the function f(x)=x³, where x is the length of a side of the cube. find and interpret f(4).

Explanation:

Step1: Substitute x = 4 into the function

$f(4)=4^{3}$

Step2: Calculate the value of $4^{3}$

$4^{3}=4\times4\times4 = 64$

Step3: Interpret the result

The volume of a cube with side - length 4 units is 64 cubic units.

Answer:

$f(4) = 64$, which represents the volume of a cube with side - length 4 units and the volume is 64 cubic units.