The surface area of a cube is 24cm^2. Find the length of the sides.
The surface area of a cube is given by the formula:
Surface Area = 6s^2
where S is the length of the sides of the cube.
We are given that the surface area of the cube is 24cm².
Therefore, we can write:
6s² = 24cm²
Dividing both sides by 6, we get:
s² = 4cm²
Taking the square root of both sides, we get:
s = 2cm
Therefore, the length of each side of the cube is 2cm.
To find the length of the sides of a cube when the surface area is given, follow these steps:
Step 1: Recall the formula for the surface area of a cube: SA = 6s^2, where s is the length of each side.
Step 2: Substitute the given surface area into the formula: 24cm^2 = 6s^2.
Step 3: Divide both sides of the equation by 6: 24cm^2 / 6 = s^2.
Step 4: Simplify: 4cm^2 = s^2.
Step 5: Take the square root of both sides to solve for s: √(4cm^2) = √(s^2).
Step 6: Simplify: 2cm = s.
Therefore, the length of each side of the cube is 2cm.