If each edge of a cube is 6 cm, then find the diagonal of cube.

Options

A. `6sqrt2 cm`
B. `6sqrt3 cm`
C. `36sqrt2 cm`
D. `36sqrt3 cm`

Answer

To find the diagonal of a cube with each edge measuring 6 cm, we can follow these steps:

### Step 1: Understand the formula for the diagonal of a cube
The formula for the diagonal (D) of a cube is given by:
\[ D = \sqrt{3} \times \text{side length} \]

### Step 2: Identify the side length
In this case, the side length of the cube is given as 6 cm.

### Step 3: Substitute the side length into the formula
Now, we substitute the side length into the formula:
\[ D = \sqrt{3} \times 6 \]

### Step 4: Calculate the diagonal
Now, we perform the multiplication:
\[ D = 6\sqrt{3} \, \text{cm} \]

### Step 5: State the final answer
Therefore, the diagonal of the cube is:
\[ \text{Diagonal} = 6\sqrt{3} \, \text{cm} \]

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