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
frosja888 [35]
3 years ago
13

If the volume of a cube is increased by a factor of 10 (so that the new volume is 10 times the size of the original volume), by

what factor does the surface area of the cube change?
Mathematics
1 answer:
Alexeev081 [22]3 years ago
5 0

Answer:

surface area of cube 10^{\frac{2}{3} } time

Step-by-step explanation:

given data

new volume =  10 time original volume

to find out

what factor surface area change

solution

we consider here side of cube is a

and volume is V

we consider here a is 2

then volume will be v1 = a³ = 2³ = 8

and surface area = 6a²    = 6(2)² = 24    ..........1

so if volume increase 10 time

than

V = 10 × v1

a³ = 10 × 8

a³= 80

a = 2 × ∛10

and

surface area increase here

surface area = 6a²

surface area = 6( 2 × ∛10 )²

surface area = 24 × 10^{\frac{2}{3} }    ............2

so from equation 1 and 2

surface area / surface area = 24 × 10^{\frac{2}{3} }  / 24

surface area = 10^{\frac{2}{3} }

so here surface area of cube will be 10^{\frac{2}{3} } time

You might be interested in
On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the
Daniel [21]

Answer:

hello your question is incomplete attached below is the complete question

answer :

H0 : <em> u </em>= 21.62    ( Null hypothesis )

H1 : <em> u</em> = 21.62   ( alternative hypothesis )

Step-by-step explanation:

Formulating hypothesis that can be used to determine whether the population mean rate at 5 CCF of residential water discharged by U.S public utilities differs from $21.62

H0 : <em> u </em>= 21.62    ( Null hypothesis )

H1 : <em> u</em> = 21.62   ( alternative hypothesis )

3 0
3 years ago
How much is a 15 percent down payment on a purchase of 205,000
insens350 [35]
Change 15% into a decimal

15% = 15/100 = 0.15

multiply 0.15 and 205,000 together

205000 x 0.15 = <span>30750

$30,750 is your answer

hope this helps</span>
6 0
3 years ago
A squirrel climbs 15 feet up a tree. He then runs 8.26 feet down the tree. How much further does the squirrel need to go before
Lostsunrise [7]
That would be 15 - 8.26 = 6.74 feet
4 0
3 years ago
Read 2 more answers
How many helmets must the company make and sell to break even? helmets
klio [65]

The sale the company must make and sell to break even is;

B=600

<h3>How many helmets must the company make and sell to break even?</h3>

Generally, the equation for the break even  is mathematically given as

In conclusion

B=y vertex/price of each

Therefore

B=15600/26

B=600

In conclusion, the company's  break even is

B=600

CQ

A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a  y-intercept of 8,400 and a vertex of (500, 15,900). How many helmets must the company make and sell to break even?

Read more about Arithmetic

brainly.com/question/22568180

#SPJ4

8 0
1 year ago
Read 2 more answers
What is 8/90 in simplest form
STALIN [3.7K]
8/90 in simplest form is 4/45
3 0
3 years ago
Read 2 more answers
Other questions:
  • The vertex form of the equation of
    11·1 answer
  • If bob earns 35,000 a month how much does he earn in 2 years and 75 weeks
    13·2 answers
  • A girl 160 cm tall, stands 360 cm from a lamp post at night her shadow is 90 cm. How high is the lamp post
    12·1 answer
  • A college survey was taken to determine where students study. Of 110 students surveyed, 64 studied
    7·1 answer
  • Approximately 12.6% of all (untreated) Jonathan apples had bitter pit in a study conducted by the botanists Ratkowsky and Martin
    13·1 answer
  • Aiko stands 5 m from a tree. At that distance, the angle of elevation from the ground to the top of the tree is 80°.
    6·1 answer
  • Real life problem for (-10+-2)=12
    11·1 answer
  • More work that was due yesterday help?
    9·2 answers
  • Post Test: Introduction to Geometry and Transformations
    7·1 answer
  • HELP DUE IN 10 MINS!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!