A cube has a surface area of fifty-four square centimeters. What is the volume of the cube?
Nevermind I got it it's 27 cubic centimeters. thanks anyway
To find the volume of a cube, we need to know the length of one side of the cube. However, in the given question, only the surface area of the cube is provided.
To proceed, we need to find the length of one side of the cube, which can be done by calculating the length of one side using the surface area.
The formula for the surface area of a cube is: Surface Area = 6 * (side length)^2
Let's substitute the given surface area of 54 square centimeters into the formula:
54 = 6 * (side length)^2
To isolate the side length, divide both sides of the equation by 6:
54/6 = (side length)^2
9 = (side length)^2
Taking the square root of both sides, we get:
√9 = side length
Therefore, the length of one side of the cube is 3 centimeters.
Now that we know the length of one side, we can calculate the volume of the cube using the formula: Volume = (side length)^3
Plugging in the value we found:
Volume = 3^3
Volume = 27 cubic centimeters
So, the volume of the cube is 27 cubic centimeters.