gracylildonkey
gracylildonkey gracylildonkey
  • 25-06-2019
  • Mathematics
contestada

The volume of a cube with side length x inches is x^3 cubic inches. If a cube has volume 1000 cubic inches, what is its side length (in inches)?

Respuesta :

Luv2Teach
Luv2Teach Luv2Teach
  • 27-06-2019

Answer:

10"

Step-by-step explanation:

The volume for a cube is V = l × w × h

But since this is a cube, all the sides aree the same length, so we could rewrite this in terms of x as:

V = [tex]x^3[/tex]

If we know the volume to be 1000, we sub it in for V:

[tex]1000=x^3[/tex]

We "undo" a cube by taking the cubed root of both sides.  The cubd root of x cubed is just x, and the cubed root of 1000 is 10.  Therefore, x = 10

Answer Link

Otras preguntas

what is the greatest common factor of 15v to 3rd power and 12v to the 2nd power?
why is an analog computer called special purpose computer​
Make an inference about Awinita's family and their lifestyle.
Ever since she was little, people told Amelia she would never become a doctor. Starting in ninth grade, she decided to prove them wrong. She made straight As
How does time needed for preparation Affect meal planning? Also I need this answer asap!
Thomas Jefferson supported the Constitution under which of the following conditions? Select one: a. The slave trade would continue indefinitely as a preservatio
Estimate the difference by rounding each number to the nearest whole 367.2-294.8 A. 72 B.72.4 C.73 D.80
A certificate of deposit offers a nominal interest rate of 2.5 percent annually.If inflation is 1 percent, what is the real rate of return? A. 0.5 percent B. 2.
Find the area of the circle.
Which country riches​