The volume of a cube is related to the area of a face by the formula V = A^3/2What is the volume of a cube whose face has an area of 100 cm?? helppp!!

Step-by-step explanation:

There are two ways we can solve this equation.

The formula provided states that the volume of a cube based on the area of one of it's faces will be , a the area of one face. Since we know the area of one face, we can substitute that inside the equation.

It's important to note that when we have a number to a fraction power, it's the same as taking the denominator root of the base to the numerator power.

So - becomes

Therefore, the volume of this cube will be

We can additionally use prior knowledge to find the volume of this cube.

We know that the area of a square will be , where s is the length of a side. We also know the formula to find the volume of a cube from it's side length is .

Since we know that one face is 100, we can make an equation -

Now that we know the value of s, we can plug it into the volume formula, .

So the volume is .

Hope this helped!

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