The side of cube is 8cm. Find the lateral surface area of the cube.

Answer

To find the lateral surface area of a cube with a side length of 8 cm, follow these steps:

### Step 1: Understand the formula for lateral surface area of a cube.
The lateral surface area (LSA) of a cube is given by the formula:
\[ \text{LSA} = 4 \times \text{side}^2 \]
This is because a cube has 4 vertical faces, and each face is a square with an area equal to the side length squared.

### Step 2: Substitute the side length into the formula.
Given that the side length of the cube is 8 cm, we can substitute this value into the formula:
\[ \text{LSA} = 4 \times (8 \, \text{cm})^2 \]

### Step 3: Calculate the area of one face.
First, calculate the area of one face:
\[ (8 \, \text{cm})^2 = 64 \, \text{cm}^2 \]

### Step 4: Multiply by 4 to find the lateral surface area.
Now, multiply the area of one face by 4 to find the lateral surface area:
\[ \text{LSA} = 4 \times 64 \, \text{cm}^2 = 256 \, \text{cm}^2 \]

### Final Answer:
The lateral surface area of the cube is \( 256 \, \text{cm}^2 \).

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