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
Help plz, these questions are very confusing :/
padilas [110]

Answer:

1.

cos ∅=b/h=24/25

:.b=24

h=25

by using Pythagoras law

h²=p²+b²

25²=p²+24²

p²=25²-24²

p=√7²=7

now

sin ∅=P/h=7/25

tan∅=p/b=7/24

2.cos ∅ is your answer

sec∅-sin∅tan∅

1/cos∅-sin²/cos∅

(1-sin²∅)/cos∅

cos²∅/cos∅

cos∅

3.

tan²∅-sec²x

sin²∅/cos²∅-¹/cos²∅

(sin²∅-1)/cos²∅

8 0
2 years ago
Solve the given system. y = x 20 y = 6x
adelina 88 [10]
If you would like to solve the following system, you can calculate this using the following steps:

y = x - 20
y = 6 * x
_________
6 * x = x - 20
6 * x - x = -20
5 * x = -20    /5
x = -4

y = 6 * x = 6 * (-4) = -24

If you would like to solve the following system, you can calculate this using the following steps:

y = x + 20
y = 6 * x
_________
6 * x = x + 20
6 * x - x = 20
5 * x = 20    /5
x = 4

y = 6 * x = 6 * 4 = 24
8 0
3 years ago
If the absolute value of a number is added to the original number will the sum always equal 0
lbvjy [14]
Not necessarily. the absolute value of a number is that number's distance from 0 on a number line. if your taking the absolute value of a negative value, what you stated would be true. however, what if you took the absolute value of a positive number? hope that answers your question.
8 0
2 years ago
$2.25
DiKsa [7]
2.50 that is the answer

8 0
2 years ago
Which mathematical statement matches the vector operation shown in the geometric representation?
Sunny_sXe [5.5K]

Answer:

First Option v+w = u

Step-by-step explanation:

To graphically add two vectors a and b using the -tail and tip-method, you must draw the tail of b at the tip of the vector a. Then you must draw a line that goes from the tail of a to the tip of b. This line represents the sum of a + b.

In this problem, notice that the tail of the vector w is on the tip of the vector v. The line that joins the tail of v with the tip of w is u.

Therefore we can say that v + w = u.

The answer is the first option

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following expressions represents the product of 3 less that twice x and 2 more than the quantity of 3 times x
    7·1 answer
  • How do u write 310,763,136 in word form
    14·2 answers
  • Write the number in scientific notation.
    12·2 answers
  • 2 (4x+5)=90? can someone help?
    6·2 answers
  • Solve for z.
    5·2 answers
  • Nine boys share 2 pizzas equally.<br><br> How many pizzas does each boy get?
    14·2 answers
  • Plz help I will give the brainlist
    12·1 answer
  • The lines represented by the equations y<br> 3x + 5 and 5y– 15x = -10<br> are?
    12·1 answer
  • Please help! Grade 7 math
    14·1 answer
  • Im realy in need of your help please help me solve this math problem.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!