Question

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.

Answer 1

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 that

The volume of a cube is equal to

$V=s^{3}$

where

s is the length side of the cube

In this problem we have

$V=729\ cm^{3}$

Solve for s-------> that means isolate the variable s

Find the length side of the cube s

$s=\sqrt[3]{V}$

substitute the value of V

$s=\sqrt[3]{729}=9\ cm$ --------> a perfect cube

therefore

Statements

This 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

Answer 2

volume = S^3

S = V^1/3 ( cubic root)

S = 729^1/3 = 9

This is a perfect cube.

The side length is 9 centimeters.

Taking the cube root of the volume will determine the side length