Please help, find the area of the polygon.
1 answer:
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Answer:
<h2><u>158 in²</u></h2>Step-by-step explanation:
First we can write the equation to find the surface area of a rectangular prism
Now rewrite filling in variables
Solve. Keep in mind the order of operations
After solving, you should get 158.
Since these measurements were done in inches, we need to add inches/in to the end.
Also, since it is area, we need to add ²
<u>158 in²</u>
<u></u>
Answer:
188
Step-by-step explanation:
So we can split up this shape into two prisms and then add the two areas.
The volume of a rectangular prism is V = l*w*h
For the first prism, we have our length as 3, our width as 4, and our height as 9. Substituting these values into our volume equation gives us V = (3)(4)(9) = 108 .
Now for the second prism, we have our length as 5, our width as 4, and our height as 4. Substituting these values into our volume equation give us V = (5)(4)(4) = 80
Now adding these two values will give us the area of the entire figure: 108 +80
= 188
Answer:
The rate of change of the volume of the cylinder at that instant =
Step-by-step explanation:
Given:
Rate of increase of base of radius of base of cylinder = 7 mm/hr
Height of cylinder = 1.5 mm
Radius at a certain instant = 12 mm
To find rate of change of volume of cylinder at that instant.
Solution:
Let represent radius of base of cylinder at any instant.
Rate of increase of base of radius of base of cylinder can be given as:
Volume of cylinder is given by:
Finding derivative of the Volume with respect to time.
Plugging in the values given:
Using
(Answer)
Thus rate of change of the volume of the cylinder at that instant =