Question

T varies inversely with the cube of W. When wis 3, T is a Find the value of w when Tis 233 · W = [?]​

Answer 1

The correct answer is W = 9

Answer 2

cuberoot[27a/233

Explanation:

If T varies inversely with the cube of W, then;

T = k/W³

k = TW³

If W = 3 and T ,= a

k = a(3)³

k = 27a

To get W when T is 233

Recall

T = k/W³

233 = 27a/W³

233w³ = 27a

W³= 27a/233

w = cuberoot[27a/233]