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frosja888 [35]
4 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]4 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

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Reflection is when the pre-image is flipped over a line.
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Harvey the wonder hamster can run 3\dfrac16 \text{ km}3 6 1 ​ km3, start fraction, 1, divided by, 6, end fraction, start text, s
Snowcat [4.5K]

Answer:

Speed = \frac{38}{3}km/hr

Step-by-step explanation:

Given

Distance = 3\frac{1}{6}km

Time = \frac{1}{4}hr

Required

Determine the average speed

Average speed is calculated as thus;

Speed = \frac{Distance}{Time}

Speed = 3\frac{1}{6}/\frac{1}{4}

Speed = 3\frac{1}{6} * \frac{4}{1}

Convert Mixed Fraction to Improper fraction

Speed = \frac{19}{6} * \frac{4}{1}

Speed = \frac{19 * 4}{6 * 1}

Speed = \frac{76}{6}

Divide both sides of the fraction by 2

Speed = \frac{38}{3}

Hence:

The speed is:

Speed = \frac{38}{3}km/hr

3 0
3 years ago
A random survey showed that 35 out of 52 people plan to vote for Mr. Jones for Mayor. About how many people voted in the electio
irina [24]

Answer:

780 people

Step-by-step explanation:

Basically, you have to find the scale by which the people who voted for Mr. Jones was, and then you have to multiply that scale by the number of people from the survey, which was 52. So here, 525 people voted for Mr. Jones, so we have to divide 525 by 35, which was the number of people that voted for Mr. Jones from the survey. You get 15 as the scale number, and multiply that by 52 to get 780, which is the total number of people that voted, assuming that these two are directly proportional.

3 0
3 years ago
Britania has a gross bimonthly income of $2,900. She pays 18% in federal and state taxes, puts aside 12% of her income to pay of
Alex_Xolod [135]

Answer:

$725 to $870

Step-by-step explanation:

Federal Taxes: (2900×18)÷100=<u>$522</u>

School Loan: (2900×12)÷100=<u>$348</u>

Savings: (2900×10)÷100=<u>$290</u>

Housing Expense Range:

(2900×25)÷100=$725

(2900×30)÷100=$870

2900-(870+725+290+348+522)=

2900-2755=

$145 (Including savings)

4 0
3 years ago
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Fato
Nataliya [291]

The probability that the next person will purchase no costume is 7/166 if the 7 visitors purchased no costume.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Total number of visitors = 7+143+16 = 166

Number of visitors purchased no costume = 7

The probability that the next person will purchase no costume:

= 7/166

Thus, the probability that the next person will purchase no costume is 7/166 if the 7 visitors purchased no costume.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

4 0
2 years ago
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