Hold the salt

Question

Tanisha has an internship at a kitchenware design firm. She is designing a stylish set of cubic containers for sugar, flour, and other baking supplies.
Tanisha is told that the container for salt should have a volume of 125 cm³. She draws a cube with an edge length of x cm.
Volume = 125 cm³
She writes x3 = 125 to figure out the value of x.
X
X
The volume of the salt container is 125 cm³. What does x represent in the equation x³ = 125? 3
choose your answer...
What is the first step in solving x³ 3 = 125?
choose your answer...
X
What is the edge length of the cube?
type your answer...
centimeters
Is x = -5 a solution to the equation? Why or why not?
choose your answer...

Answer 1

1. What does x represent in the equation x³ = 125?
   Answer: x represents the edge length of the cube.

2. What is the first step in solving x³ = 125?
   Answer: The first step is to take the cube root of both sides of the equation: \( x = \sqrt[3]{125} \).

3. What is the edge length of the cube?
   Answer: The edge length of the cube is 5 centimeters.

4. Is x = -5 a solution to the equation? Why or why not?
   Answer: No, x = -5 is not a solution to the equation because the volume of a cube (which is found by cubing the edge length) cannot be negative. The cube of -5 is -125, which does not equal 125.

Answer 2

Is x = -5 a solution to the equation? Why or why not?
choose your answer...
No, the cube root has the same sign as the original number
No, the answer to cube roots have to always be positive
3 = 125?
X
Yes because every positive number has an opposite number?
Yes, since when we square root, there are 2 answers