\[ r^3 = 288 \times \frac{3}{4} = 216 \]

["Solving ( r^3 = 288 \ imes \frac{3}{4} = 216 ): A Step-by-Step Guide", "Are you striving to solve cubic equations with ease? The equation ( r^3 = 288 \ imes \frac{3}{4} = 216 ) offers a great example of how simplifying and solving cubic expressions can yield clean results. In this SEO-optimized article, we’ll break down the steps to solve ( r^3 = 288 \ imes \frac{3}{4} = 216 ), explain how 216 arises from the calculation, and show why mastering such problems boosts your math skills.", "---", "### Understanding the Equation: ( r^3 = 288 \ imes \frac{3}{4} = 216 )", "At first glance, the expression combines multiplication and exponentiation. Let’s analyze it clearly:", "- Start with:\n [\n r^3 = 288 \ imes \frac{3}{4}\n ]", "- Multiply 288 by ( \frac{3}{4} ):\n [\n 288 \ imes \frac{3}{4} = \frac{864}{4} = 216\n ]", "- So,\n [\n r^3 = 216\n ]", "Thus, solving for ( r ) means finding the cube root of 216.", "---", "### Step 1: Solve for ( r )", "We now solve:\n[\nr = \sqrt[3]{216}\n]", "We know that:\n( 6 \ imes 6 \ imes 6 = 36 \ imes 6 = 216 ), so\n[\n\sqrt[3]{216} = 6\n]", "Therefore,\n[\nr = 6\n]", "---", "### Why ( r = 6 ) Makes Sense in Real Applications", "Solutions like ( r = 6 ) appear in geometry, physics, and engineering — especially when dealing with cube volumes or geometric scale factors. For example, if you know the cube of a linear dimension ( r ) equals 216 cubic units, the underlying dimension ( r ) is 6 units.", "---", "### How to Simplify Similar Problems", "To answer any equation of the form ( r^3 = C ), follow these steps:", "1. Simplify the constant multiplication: Perform arithmetic divisions and multiplications inside the parentheses.\n2. Evaluate numerically: Use fractions or division to reduce the constant to its simplest integer or radical form.\n3. Apply the cube root: Take the cube root of the simplified constant.\n4. Check for rational solutions: Test small integers to see if their cube equals the value.", "For ( r^3 = 216 ), recognizing that ( 6^3 = 216 ) connects algebra with number theory beautifully.", "---", "### SEO Keywords Included:", "- ( r^3 = 216 ) solved step-by-step\n- cube root calculation tutorial\n- simplifying radicals and rational numbers\n- solving cubic equations\n- how to solve ( r^3 = C )", "---", "### Final Summary", "The equation ( r^3 = 288 \ imes \frac{3}{4} = 216 ) simplifies neatly through arithmetic first, then cube-root extraction:", "[\nr^3 = 288 \ imes \frac{3}{4} = 216 \quad \Rightarrow \quad r = \sqrt[3]{216} = 6\n]", "This foundational skill in algebraic manipulation supports advanced mathematics and practical problem-solving.", "---", "Want to master cube roots and radicals? Practice similar equations — consistency builds mastery!\nSearch término: solve cubic equations, cube root of 216, how to solve ( r^3 = 216 )", "---", "Keywords: ( r^3 = 216 ), solve cube roots, simplify ( r^3 = C ), cube root tutorial, rational cube roots\nIntent: Education, SEO, math learners, algebra practice"]