The cube of a number A is proportional to the fourth power of another number B. If B = 8, then A = 8. If B = 3, what is the value of A?3

The problem states that the cube of a number A is proportional to the fourth power of another number B. This can be written as A^3 = k * B^4, where k is the constant of proportionality.

Given that when B = 8, A = 8, we can substitute these values into the equation to find k:

8^3 = k * 8^4 512 = k * 4096 k = 512 / 4096 = 0.125

Now that we have the value of k, we can substitute B = 3 into the equation to find the value of A:

A^3 = 0.125 * 3^4 A^3 = 0.125 * 81 A^3 = 10.125

Taking the cube root of both sides gives:

A = cube root of 10.125 ≈ 2.15

So, when B = 3, the value of A is approximately 2.15.