1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Molodets [167]
3 years ago
13

Volume and surface area are often compared by manufacturers in order to maximize how much of something can go inside of a packag

e (volume) while keeping how much material is required to create the package (surface area) low.
Pick a product that might be packaged in the shape of a rectangular prism. A rectangular prism has three dimensions: length, width, and height. The surface area of a rectangular prism can be found using the formula SA = 2lw + 2wh + 2lh. The volume of a rectangular prism can be found using the formula V = lwh. Write an expression for the ratio of surface area to volume for the figure.
Choose an appropriate length, width, and height for your package so that it can fit the product you are shipping. Using these dimensions, what is the ratio of surface area to volume?
Mathematics
1 answer:
notka56 [123]3 years ago
4 0
We have no dimensions to work with. I'll pick some and try and comply with the conditions of the problem. 

Suppose you have an object that is 14 by 22 by 27 cm. These three numbers have no common factor so they cannot be reduced any further, which is helpful for this problem.

Find the Volume
Volume

l = 27 cm
w = 14 cm
h = 22 cm

V = 27 *14 * 22
V = 8316 cm^3

Find the surface area
SA = 2*l*w + 2*l*h  + 2*w*h
SA = 2*27*14  +  2*27*22   +  2*14*22
SA = 756 + 1188 + 616
SA = 2558

Just looking at these numbers The surface area is about 1/3 of the volume. I don't think this is always true.


 \frac{SA}{V} =  \frac{2*L*W  + 2*L*H + 2*W*H}{L*W*H} 

Another way to do this is to consider a cube which might give you a more useful result. 

s = L = W = H all three dimensions are equal in a cube.
The volume of a cube is s*s*s = s^3
The surface area of a cube is 2*s*s + 2*s*s + 2s*s = 6s^2

\frac{SA_cube}{V_cube} =  \frac{6s*s}{s*s*s}
\frac{SA}{V} =  \frac{6}{s}

That means whatever the side length, the Surface Area to volume = 6/the side length which is kind of an interesting result.


You might be interested in
Function or not a function?
Mazyrski [523]
<h3><u>Explanation</u></h3>
  • How to see if a shown graph is function or not?

If we want to check that a graph is function or not, we have a way to check by doing these steps.

  1. Draw a vertical line, make sure that a line has to pass through or intercept a graph.
  2. See if a line intercepts a graph more than once.

If a line intercepts a graph only one point, a graph is indeed a function. Otherwise, not a function but a relation instead. That includes if a line intercepts more than a point which doesn't make a graph a function.

From the graph, if we follow these steps, we will see that a line will only pass or intercept the graph only one point. Hence, the graph is indeed a function. The following graph that is shown is called "Parabola" for a < 0.

<h3><u>Answer</u></h3>

The graph is a function.

3 0
3 years ago
HELP PLSSS, 20 POINTSSS
ruslelena [56]

Answer:

m1=43

Step-by-step explanation:

78-35=43

8 0
3 years ago
Read 2 more answers
Answer<br><br> -10 – (-2) =
Allisa [31]

Answer:

8

Step-by-step explanation:

- (-2) is the same as + 2

-10 + 2 = -8

8 0
3 years ago
Read 2 more answers
Sam invests $6000 in two different accounts. The first account paid 12 %, the second account paid 7 % in interest. At the end of
Lunna [17]

Answer:

The amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

Step-by-step explanation:

Let x be the amount in the account at 12% interest

So, 6000-x is the amount in the second account at 7% interest

SI = \frac{P \times T \times R}{100}

First account:SI=\frac{x \times 1 \times 12}{100}

Second account : SI =\frac{(6000-x) \times 1 \times 7}{100}

We are given that At the end of the first year he had earned $590 in interest.

So, \frac{x \times 1 \times 12}{100}+\frac{(6000-x) \times 1 \times 7}{100}=590\\x=3400

So,the amount in the account at 12% interest is $3400

The amount in the second account at 7% interest =6000-x=6000-3400=2600

Hence the amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

8 0
3 years ago
If a=1.32332332...<br>b=0.101101110<br>&amp; 1/ac-bc=27 then what is c?​
Sever21 [200]

Answer:

are you trying to spam brainley

8 0
3 years ago
Other questions:
  • The manager of a plant nursery bought 120 lb of soil to use for potting plants. The manager can put 5 lb into each of the small
    12·1 answer
  • Find an angle where sine and cosine are equal. find the tangent of that angle
    12·1 answer
  • Is 53 prime or composite
    8·1 answer
  • On a piece of paper, use a protractor and a ruler to construct △ABC with AB=6 cm , m∠A=80° , and m∠B=50° .
    10·2 answers
  • What dose x represent
    7·2 answers
  • What is the inverse of the function f(x) = 4x + 8?
    6·1 answer
  • HELP HELP EASY<br> Use a calculator to approximate cos 43° and round to<br> four decimal places.
    9·1 answer
  • Find the equation of the linear function represented by the table y 6 9 12 15 x 1 2 3 4​
    10·1 answer
  • What is the slope of a line perpendicular to the line whose equation is 4x+5y=35. Fully simplify your answer.
    15·1 answer
  • I already graphed the first question, need number 2 please
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!