Final answer:
The value of n is 2 when the function p(n) = 7n^3 is equal to 56. This is found by isolating n and taking the cube root of 8.
Step-by-step explanation:
The question asks us to find the value of n when the function p(n) = 7n^3 is equal to 56. To solve this, we set the function equal to 56 and solve for n:
7n^3 = 56
To isolate n^3 on one side, we divide both sides of the equation by 7:
n^3 = 56 / 7
n^3 = 8
Next, to solve for n, we need to take the cube root of both sides:
n = ∛8
n = 2
Therefore, the value of n when p(n) is equal to 56 is 2.