Sure, I can help with that.
Step 1: Understand the formula for the surface area of a cube.
The surface area (A) of a cube can be found using the formula A = 6s^2, where s is the length of a side of the cube. The total surface area is the sum of the areas of all six sides.
Step 2: Substitute the value into the formula.
Here, the length of each side (s) is given as 5 cm. So, we substitute this value into the formula, we get A = 6 * (5 cm)^2.
Step 3: Carry out the calculation.
(5 cm)^2 = 25 cm^2 (this is the area of one side of the cube).
Therefore, A = 6 * 25 cm^2 = 150 cm^2.
So, the total surface area of the cube is 150 cm^2.
Now, let's calculate the lateral surface area, which is the surface area of the cube excluding the top and bottom.
Step 1: Understand the formula for the lateral surface area of a cube.
The lateral surface area (LSA) of a cube can be found using the formula LSA = 4s^2.
Step 2: Substitute the value into the formula.
Substitute s = 5 cm into the formula, we get LSA = 4 * (5 cm)^2.
Step 3: Carry out the calculation.
(5 cm)^2 = 25 cm^2.
Therefore, LSA = 4 * 25 cm^2 = 100 cm^2.
So, the lateral surface area of the cube is 100 cm^2.