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The side of the base of a square prism is increasing at a rate of 5 meters per second and the height of the prism as decreasing at a rate of 2 meters per second.
At a certain instant, the base's side is 6 meters and the height is 7 meters.

What is the rate of change of the volume of the prism at that instant fin cubic meters per second?

a. 348
b. 492
c. -492
d. 318

The volume of a square pnsm with base side s and neignth is s² h.

Respuesta :

Answer:

348

Step-by-step explanation:

348

Step-by-step explanation:

The volume of the square prisma is given by the following formula:

In which h is the height, and s is the side of the base.

Let's use implicit derivatives to solve this problem:

In this problem, we have that:

So the correct answer is:

348

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