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
victus00 [196]
3 years ago
11

the volume of a cube is increasing at a constant rate of 824 cubic centimeters per minute. At the instant when the volume of the

cube is 683683 cubic centimeters, what is the rate of change of the surface area of the cube? Round your answer to three decimal places (if necessary).
Mathematics
1 answer:
Maurinko [17]3 years ago
6 0

Answer:

DA/dt  = 75.27 cm²

Step-by-step explanation:

Cube Volume    =   V(c)   =  683  cm³

DV(c) /dt    =  824 cm³

V(c,x) = x³    

Then

DV(c,x)/ dt   =  3x² Dx/dt

( DV(c,x)/ dt )/ 3x²  =  Dx/dt       (1)

Now  as  V(c,x) = x³    when    V(c,x)  =  683 cm³     x = ∛683

x  =  8.806     ( from excel)

And by subtitution of this value in equation (1)

Dx/dt   =  ( DV(c,x)/ dt )/ 3x²   ⇒  Dx/dt  =  824 / 3*x²

  Dx/dt   = 824 /3*77.55

Dx/dt   =  824/232,64

Dx/dt   = 3,542

Then we got  Dx/dt  where x is cube edge. The area of the face is x² then

the rate of change of the suface area is  

DA/dt  = ( Dx/dt )²*6         ( 6 faces of a cube)

DA/dt  = (3.542)²*6

DA/dt  = 75.27 cm²

You might be interested in
If a spinner is spun 5 times then each event is independent <br><br> True or false?
steposvetlana [31]

Answer:

True

Step-by-step explanation:

Each time a spinner is spun, there is an equal chance that each result will occur, thus each of these spins are independent.

8 0
3 years ago
Read 2 more answers
Help me please :( ill give u brainnlyyyyyyy :DDD
9966 [12]

Answer:

180 grams

Step-by-step explanation:

2 people = 5 ounces

6 people= 5*3= 15 ounces

1 ounce= 28 grams

15 ounces= 15*28 grams= 420 grams

There is 240 grams already on the weight, so

420- 240= 180 grams more of diced onions are required

6 0
3 years ago
Can someone help me with this ???
Arisa [49]
The equation is
Y=-3/1 +2
Y-Intercept at (0,2)
3 0
3 years ago
What is the solution to the inequality?<br>10.2 +18 &lt; -2​
Gre4nikov [31]

Answer:

94

Step-by-step explanation:

5 0
3 years ago
Kelly plans to take juice on her camping trip. Which will hold more juice, 8 cans or 2 bottles? How much more?
Alex
It depends on how many days you are going to be on your camping trip if you are going to be on the for 2 days you will need the 2 bottles but if you are going on the trip for 8 days you will need the 8 cans. so 8 will work
8 0
3 years ago
Other questions:
  • The crazy 80’s baby goes shopping for ingredients at the grocery store. For every 7 carrots that he sees at the store, 2 are rot
    9·2 answers
  • With a certain tail wind a jet aircraft arrives at its destination, 1,890 miles away, in 3 hours. Flying against the same wind,
    6·1 answer
  • If you multiply by 3 negatives does it equal a negative?
    5·1 answer
  • I used 8 bags of sand for 12m squared . How much will I need for 15m squared?
    9·2 answers
  • Combine the like terms to create an equivalent expression 3y+6-y
    10·1 answer
  • Solve the polynomial. <br><br> X^3 + 4x^3 - 11x - 30 = 0
    10·1 answer
  • Can you help me solve it​
    12·1 answer
  • At a collector's fair, Jason sold six sports cards at $56 each and bought eight sports cards at $43 each. What was Jason's net p
    7·1 answer
  • Brainliest goes to whoever answers correctly try to show work ONLY if you can
    14·1 answer
  • Simplify 14.2 + 6.5(p + 3q) – 4.05q
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!