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
givi [52]
3 years ago
13

You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 1536cm3. Deter

mine the dimensions of the box that will minimize the surface area, where x is the length of each side of the base and y is the height of the box g
Mathematics
1 answer:
Katen [24]3 years ago
8 0

Answer:

The dimensions of the box are:

Length = 11.53cm

Breadth = 11.53cm

Height = 11.53cm

Step-by-step explanation:

The volume of the box can be calculated with this formula:

The volume of the box = area of square base X height of the box.

We are given that the length of one side of the square base is = x cm, and its height is h cm.

Area of square base = x^{2}cm^{2}

The surface area of the box will be minimized if the height of the box, is the same as its length. hence, we can take the height of the box to be x cm also.

In this case, the volume of the box will be x^{3}=1536cm^{3}

from this, x =3\sqrt{1536}= 11.53cm

There fore, the box has its length, height, and width all having the same values.

The dimensions of the box are:

Length = 11.53cm

Breadth = 11.53cm

Height = 11.53cm

You might be interested in
Please help&lt;3<br> Thank you so much:)
KengaRu [80]

Divide number of people who would buy it again by total number surveyed them multiply by 100 for the percent.

1815/3300 = 0.55

0.55 x 100 = 55%

The answer is 55%

6 0
2 years ago
Read 2 more answers
State whether the following uses inductive or deductive reasoning: What goes up, must come down. When you throw a baseball up in
Juli2301 [7.4K]
Yes the baseball will come down because of gravity
3 0
3 years ago
Read 2 more answers
1. What are the major forces that drive movements in the atmosphere?
Kruka [31]
1. Wind speed and direction respond to pressure gradient forces that exist between high and low pressure areas. In the Northern Hemisphere and because of the rotation of the earth, winds circulate in a clockwise fashion around areas of high pressure and in a counter-clockwise manner around regions of lower pressure. Air pressure decreases relatively slowly with height in regions dominated by warm air and relatively rapidly with height in areas where cold air prevails. As a result, wind patterns in the upper atmosphere tend to flow in an oscillating manner around major pockets of warm and cold air. 
<span>Horizontal pressure gradient force- results from the high and low pressure systems (highs, lows, troughs and ridges) in the atmosphere. Air tends to move air from regions of high pressure to regions of low pressure.
</span>Friction- the drag on the air by the earth's surface (e.g., plants, trees, buildings, mountains, etc.).

Friction always acts opposite to air motion

<span>Coriolis Force<span>Coriolis force- the force that results from Earth's rotation.The Coriolis force solely results from living on a rotating object -- Earth. It acts only on objects moving with respect to the earth's surfaceCentrifugal force- the tendency for a body to resist a change in direction.
<span>
</span></span></span>2. The amount of sunlight striking an air mass influences its temperature. As the air heats up, it rises in the air column and begins sucking cool air in behind it. This causes the winds that drive much of the planet’s weather systems.

The weather is also affected by the local geography. For example, mountains often block winds and rainfall. This causes one side of the mountain to have very high amounts of rainfall and lush vegetation, while the far side of the mountains remain very dry and desolate.

The air pressure in an area can impede or encourage the flow of weather systems. In general, air masses flow from areas of high pressure towards areas of low pressure. Usually, storms occur in areas of extremely low pressure.

The amount of water in the atmosphere affects the local humidity and rainfall. Air masses that move across bodies of water often draw water up into the air before depositing it somewhere else as rain, snow or sleet

6 0
3 years ago
I like animals, what animals do you like?
IRINA_888 [86]

Answer:

tigers

Step-by-step explanation:

3 0
2 years ago
PLS HELP WITH BOTH ASAP WILL GIVE BRAINLIEST
weeeeeb [17]

Answer:

13) 25 and 17

14) cupcakes = $5

brownies = $3

Step-by-step explanation:

13)  you can set this up as equations

so x + y = 42

x-y = 8

solve simultaneously by subtracting from each other

2y = 34

y= 17

if y = 17

42 - 17 = 25 = x

14) set up as equations again

Ben    7c + 10b = 65

franklin   7c +7b = 56

subtract from eachother

3b = 9

b = $3

7c + 10(3) = 65

7c = 35

c = $5

5 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify. x+5/x^2+6x+5
    5·2 answers
  • Which term means 1000?
    15·2 answers
  • Honestly these are really easy.Help me plz on these easy 6 questions!!!
    8·1 answer
  • Find a ratio that is equivalent to 4 to 5
    11·1 answer
  • Graph the solution set 2(x-y)&gt;6-y
    6·1 answer
  • The speed limit on a higway is 70 miles per hour/ About how fast is this in miles per minute?
    15·2 answers
  • The longest side of a triangle is 80cm more than the second and 130cm more than the shortest side and its perimeter is 540cm. fi
    13·1 answer
  • 10. Sonia paid $ 19.55 for 3.4 pounds of salmon. What is the price per pound of the salmon?​
    8·1 answer
  • A company pays $10 per hour for up to 8 hours of work. What is the equation for total pay (y) for hours worked (x), for 0-8 hour
    15·1 answer
  • The sum of two numbers is 14 and their difference is 4. What are the two numbers (02 6 8 Larger number Smaller number​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!