Select the correct answerCalculate the volume of a cube with a surface area of 150 cm².

Sure, let's solve this step by step:

1. First, we know that the surface area (SA) of a cube is given by the formula SA = 6s², where s is the length of a side.

2. We are given that the surface area is 150 cm². So, we can set up the equation 6s² = 150.

3. To solve for s, we divide both sides of the equation by 6: s² = 150 / 6 = 25.

4. Then, we take the square root of both sides to solve for s: s = √25 = 5 cm.

5. Now that we know the length of a side, we can calculate the volume (V) of the cube using the formula V = s³.

6. Substituting s = 5 cm into the formula gives us V = 5³ = 125 cm³.

So, the volume of the cube is 125 cm³.