Surface Area/Volume Relationship
<p><span style="font-size:16px"><a href="https://www.prepswift.com/quizzes/quiz/prepswift-surface-areavolume-relationship" target="_blank">Surface Area/Volume Relationship Exercise</a></span></p><p>Let's say you're a daredevil. Yes, a daredevil. For your latest stunt, you're going to jump from a great height. And, you're also a magician. Yes, a magician. And, before the big stunt, you have the option of turning yourself into an ant....or an elephant.</p>
<p><strong><span style="color:#27ae60;">Which would you choose?</span></strong></p>
<p>The ant of course. Because the elephant is going to go splat. The ant won't even realize what's going on before landing ever so harmlessly on the ground. </p>
<p>We have an intuitive understanding about the S<strong><span style="color:#8e44ad;">urface Area / Volume Relationship</span></strong>. In a nutshell, the smaller something is, the larger its surface area is in comparison to its volume. This is why the ant survives the long fall. Its surface area, relatively speaking, is large compared to its volume. </p>
<p>But the poor elephant...that poor elephant...its surface area to volume ratio is much smaller than that of the ant.</p>
<p><strong><span style="color:#e74c3c;">Some Mathematical Examples</span></strong></p>
<p>Look at the four cubes below, with side lengths of $1$, $3$, $6$, and $12$ respectively. For each, you will see the volume and surface area calculated. Kindly note the relationship.</p>
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