Find the volume and total surface area of a cube whose each edge is:
2m 40 cm.

Answer

To find the volume and total surface area of a cube whose each edge is 2m 40cm, we will follow these steps:

### Step 1: Convert the edge length to meters
The edge length is given as 2m 40cm. We need to convert the entire measurement into meters.

- **Conversion**:
- 40 cm = 40/100 m = 0.40 m
- Therefore, 2m 40cm = 2m + 0.40m = 2.40m

### Step 2: Calculate the volume of the cube
The formula for the volume \( V \) of a cube is given by:

\[ V = \text{side}^3 \]

Using the edge length we found:

- **Calculation**:
- \( V = (2.40 \, \text{m})^3 \)
- \( V = 2.40 \times 2.40 \times 2.40 \)
- \( V = 13.824 \, \text{m}^3 \)

### Step 3: Calculate the total surface area of the cube
The formula for the total surface area \( A \) of a cube is given by:

\[ A = 6 \times \text{side}^2 \]

Using the edge length:

- **Calculation**:
- \( A = 6 \times (2.40 \, \text{m})^2 \)
- \( A = 6 \times (2.40 \times 2.40) \)
- \( A = 6 \times 5.76 \)
- \( A = 34.56 \, \text{m}^2 \)

### Final Results
- Volume of the cube: \( 13.824 \, \text{m}^3 \)
- Total Surface Area of the cube: \( 34.56 \, \text{m}^2 \)

---