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\(\text{P} = \left[\cfrac{\mathrm{Q(R - T)}}{15}\right]^\frac{1}{3}\)Make T the ...


Question

\(\text{P} = \left[\cfrac{\mathrm{Q(R - T)}}{15}\right]^\frac{1}{3}\)

Make T the subject of the relation.

Options

A) \(\text{T} = \frac{\text{R} + \text{P3}}{15\text{Q}}\)

B) \(\text{T} = \frac{\text{R} - 15\text{P}^3}{\text{Q}}\)

C) \(\text{T} = \text{R} - \frac{15\text{P}^3}{\text{Q}}\)

D) \(\text{T} = \frac{15\text{R} + \text{Q}}{\text{P}^3}\)

The correct answer is C.

Explanation:

\(\text{P} = \left[ \cfrac{\mathrm{Q(R-T)}}{15} \right]^{\frac{1}{3}}\)
\(\text{P}^3 = \cfrac{\mathrm{Q(R-T)}}{15}\)
\(15\text{P}^3 = \mathrm{Q(R-T)}\)
\(\cfrac{15\text{P}^3}{\text{Q}} = \mathrm{R-T}\)
\(\text{T} = \text{R}-\cfrac{15\text{P}^3}{\text{Q}}\)

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Dicussion (1)

  • \(\text{P} = \left[ \cfrac{\mathrm{Q(R-T)}}{15} \right]^{\frac{1}{3}}\)
    \(\text{P}^3 = \cfrac{\mathrm{Q(R-T)}}{15}\)
    \(15\text{P}^3 = \mathrm{Q(R-T)}\)
    \(\cfrac{15\text{P}^3}{\text{Q}} = \mathrm{R-T}\)
    \(\text{T} = \text{R}-\cfrac{15\text{P}^3}{\text{Q}}\)

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