arjun17ragnarok
arjun17ragnarok arjun17ragnarok
  • 03-10-2020
  • Mathematics
contestada

How will the volume of a cube change if its edge becomes twice as long; 3 times as long; 10 times as long; n times as long?

Respuesta :

PhantomWisdom PhantomWisdom
  • 12-10-2020

Let, initial side is a.

When side is n times long, new side na.

Initial volume, [tex]V_i=a^3[/tex]

Final volume, [tex]V_f=(na)^3=n^3a^3[/tex]

Change in volume, [tex]V_f-V_i=\Delta V =a^3(n^3-1)[/tex]

For, n = 2 :

[tex]\Delta V = 7a^3[/tex]

n = 3 :

[tex]\Delta V = 26a^3[/tex]

n = 10 :

[tex]\Delta V = 999a^3[/tex]

Hence, this is the required solution.

Answer Link

Otras preguntas

St. Paul was a follower of Jesus who spread Jesus’ teachings to people other than the Jews. St. Paul thought of himself as an apostle to which of these people?
Usually flowers contain more stamens than pistil . Why?
What is the area of the figure?
What jobs did the ancient roman consuls do?
unlike identical twins, fraternal twins A. are always the same sex B. are produced from two identical embryos C. result from two eggs fertilized by two diff
A car traveling with content speed Travels 150 km in 7200 s. What is the speed of the car?
Parasitic bacteria that depend on eukaryotic host cells are A. protozoa. B. rickettsia. C. fungi. D. viruses.
The pituitary gland is located in the brain and controls __________. A. skin conditions B. the rest of the endocrine glands C. the regeneration of nerve cells D
is 1/3 less than 1/4
The Populist Party of the 1890's was an example of a party formed chiefly to help a__________ . a. candidate register in a national election b. land aria achiev