A cube has a surface area of 24 ft2. What is the length of one edge of the cube? Show Work Please.
you would have 6 equal surface areas
6x^2 = 24
x^2 = 4
x = √4 = 2
You would have 6 equal surface areas
6x^2 = 24
x^2 = 4
x = √4 = 2
To find the length of one edge of the cube based on its surface area, we can use the formula for the surface area of a cube:
Surface Area = 6 * (edge length)^2
We are given that the surface area is 24 ft². Let's substitute this value into the formula:
24 = 6 * (edge length)^2
Now, divide both sides of the equation by 6 to isolate the term with the edge length:
24/6 = (edge length)^2
Simplifying the left side of the equation:
4 = (edge length)^2
To solve for the edge length, we need to find the square root of both sides:
√4 = √(edge length)^2
Taking the square root of 4:
2 = edge length
Therefore, the length of one edge of the cube is 2 ft.
To find the length of one edge of the cube, we first need to determine the formula for the surface area of a cube. The surface area of a cube is given by the formula:
Surface Area = 6 * (side length)²
Given that the surface area of the cube is 24 ft², we can set up the equation:
24 = 6 * (side length)²
Now, let's solve for the side length.
Divide both sides of the equation by 6:
24 / 6 = (side length)²
Simplify:
4 = (side length)²
Take the square root of both sides to isolate the side length:
√4 = √[(side length)²]
Simplify:
2 = side length
Therefore, the length of one edge of the cube is 2 ft.