Answer:
Rate of change of the surface area is 36 m² per hour.
Step-by-step explanation:
Let x be the side of the cube,
So, the volume of the cube,
Since, the surface area of the cube,
( From equation (1) )
Differentiating with respect to t ( time ),
We have,
V = 8 meters, = 18 m³ / h,
<span><span><span><span><span>−12</span><span>a3</span></span><span>b2</span></span>c</span><span><span><span><span>-12</span><span>a3</span></span><span>b2</span></span>c</span></span> out of <span><span><span><span><span><span>−24</span><span>a3</span></span><span>b3</span></span><span>c3</span></span><span><span><span><span>−84</span><span>a4</span></span><span>b2</span></span>c</span></span><span><span><span><span><span>-24</span><span>a3</span></span><span>b3</span></span><span>c3</span></span><span><span><span><span>-84</span><span>a4</span></span><span>b2</span></span>c</span></span></span>.
<span><span><span><span><span><span>−12</span><span>a3</span></span><span>b2</span></span>c</span><span>(<span><span><span>2b</span><span>c2</span></span>+<span>7a</span></span>)</span></span><span><span><span><span><span>-12</span><span>a3</span></span><span>b2</span></span>c</span><span><span><span>2b</span><span>c2</span></span>+<span>7a</span></span></span></span>
Answer: Any right triangle with a base or height that is equal to that of a parallelogram can be the same area. The height or base (opposing to the that matches) of the right triangle simply has to be double that of the parallelogram.(This is because you must multiply the right triangle's sides sum by 1/2)
I hope this helps