If \(P = (\frac{Q(R - T)}{15})^{\frac{1}{3}}\), make T the subject of the formula.
A
\(T = \frac{15R - Q}{P^3}\)
B
\(T = R - \frac{15P^3}{Q}\)
C
\(T = \frac{R - 15P^3}{Q}\)
D
\(T = \frac{R + P^3}{15Q}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(P = (\frac{Q(R - T)}{15})^{\frac{1}{3}}\)
\(P^3 = \frac{Q(R - T)}{15}\)
\(Q(R - T) = 15P^3\)
\(R - T = \frac{15P^3}{Q}\)
\(T = R - \frac{15P^3}{Q}\)
Source: Myschool Past Questions Archive (Record #55288)