Question
Solve the equation for the indicated variable. Assume all variables are nonzero \[ k=h \sqrt[3]{d} \quad \text { ford } \] \( d=\square \)
Ask by Blake Harrington. in the United States
Feb 03,2025
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Answer
\( d = \left( \frac{k}{h} \right)^3 \)
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Beyond the Answer
To solve for \( d \), we start with the equation: \[ k = h \sqrt[3]{d} \] First, we isolate \( \sqrt[3]{d} \) by dividing both sides by \( h \): \[ \sqrt[3]{d} = \frac{k}{h} \] Next, we raise both sides to the power of 3 to solve for \( d \): \[ d = \left( \frac{k}{h} \right)^3 \] So, we get: \[ d = \frac{k^3}{h^3} \] And there you have it! \( d \) is expressed in terms of \( k \) and \( h \) as \( \frac{k^3}{h^3} \).