MATH SOLVE

6 months ago

Q:
# A cube has a volume of 729 cubic centimeters. What can be concluded about the cube? Check all that apply. Recall the formula mr021-1.jpg. The side length, s, can be found using the equation mr021-2.jpg This is a perfect cube. The side length is 243 centimeters. The side length is 9 centimeters. Taking the cube root of the volume will determine the side length. If you multiply the volume by three, you can determine the side length.

Accepted Solution

A:

Answer:This is a perfect cube
The side length is [tex]9[/tex] centimeters
Taking the cube root of the volume will determine the side length Step-by-step explanation:we know thatThe volume of a cube is equal to[tex]V=s^{3}[/tex]wheres is the length side of the cubeIn this problem we have[tex]V=729\ cm^{3}[/tex]Solve for s-------> that means isolate the variable sFind the length side of the cube s[tex]s=\sqrt[3]{V}[/tex]substitute the value of V[tex]s=\sqrt[3]{729}=9\ cm[/tex] --------> a perfect cubethereforeStatementsThis is a perfect cube--------> Is true
The side length is [tex]9[/tex] centimeters -------> Is true
Taking the cube root of the volume will determine the side length ------> Is true