The surface area of a cube is #216 cm^2#. What are the dimensions of this cube?
2 Answers
The length, height, and width of the cube is 6 cm.
Explanation:
Surface area is defined as all the area on the outside of an object, like the cube in this case. Since a cube has 6 faces, we know that for the first part of our equation, we have a 6. The 6 will be multiplying the area of the faces, so now we just need to find the formula for the area. Since the length and widths are equal, we can say that area is
Now we just need to set up the equation. We say that
See a solution process below:
Explanation:
The formula for the surface area of a cube is:
Where:
Substituting and solving for
First, divide each side of the equation by
Now we can take the square root of each side of the equation to solve for
The dimensions of the cube is: