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 $$9$$ 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$$V=s^{3}$$wheres is the length side of the cubeIn this problem we have$$V=729\ cm^{3}$$Solve for s-------> that means isolate the variable sFind the length side of the cube s$$s=\sqrt[3]{V}$$substitute the value of V$$s=\sqrt[3]{729}=9\ cm$$ --------> a perfect cubethereforeStatementsThis is a perfect cube--------> Is true The side length is $$9$$ centimeters -------> Is true Taking the cube root of the volume will determine the side length ------> Is true