The total surface area is going to be the area of all sides added together.
In a rectangular prism there are six sides but the good news is they come in pairs meaning you only have to find the area of three sides.
To find the area of a side multiply its side lengths by each other.
After you found the area of three sides multiply each one by 2.
Then take the three numbers you get from that, add em all up, and there’s your answer!!
Hope this helped.
The volume of a box is the amount of space in the box
The dimensions that minimize the cost of the box is 4 in by 4 in by 4 in
<h3>How to determine the dimensions that minimize the cost</h3>
The dimensions of the box are:
Width = x
Depth = y
So, the volume (V) is:

The volume is given as 64 cubic inches.
So, we have:

Make y the subject

The surface area of the box is calculated as:

The cost is:
--- the base is twice as expensive as the sides
Substitute 


Differentiate

Set to 0

Multiply through by x^2

Divide through by 4

Add 64 to both sides

Take the cube roots of both sides

Recall that:

So, we have:


Hence, the dimensions that minimize the cost of the box is 4 in by 4 in by 4 in
Read more about volume at:
brainly.com/question/1972490
Answer:
The expression is


Step-by-step explanation:
we know that
The equation of a exponential growth function is equal to

where
y is the population
x is the number of years
r is the rate of change
a is the initial value or y-intercept
we have

substitute the given values


For x=5 years
substitute in the exponential equation


multiply the x and y coordinates in P and Tand equate it the right hand side x and y coordinates respectively.
Answer:
b -3,3 c 6,9 hope this helps