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5m 8m 4m find the volume and surface area

To calculate both the volume and the surface area of the rectangular box (cuboid) shown in the image with the given dimensions:

- Length (L) = 6 cm
- Width (W) = 3 cm
- Height (H) = 4 cm

### 1. Volume of the Rectangular Box
The volume \( V \) of a cuboid is calculated using the formula:

\[
V = L \times W \times H
\]

Substituting the values:

\[
V = 6 \, \text{cm} \times 3 \, \text{cm} \times 4 \, \text{cm} = 72 \, \text{cm}^3
\]

So, the volume is **72 cm³**.

### 2. Surface Area of the Rectangular Box
The surface area \( A \) of a cuboid is calculated using the formula:

\[
A = 2(LW + LH + WH)
\]

Substituting the values:

\[
A = 2((6 \times 3) + (6 \times 4) + (3 \times 4))
\]
\[
A = 2(18 + 24 + 12) = 2(54) = 108 \, \text{cm}^2
\]

So, the surface area is **108 cm²**.

Would you like more details or have any other questions?

### Related Questions:
1. What is the formula for the diagonal of a cuboid?
2. How do you calculate the lateral surface area of a rectangular box?
3. If one dimension of the cuboid changes, how does it affect the volume and surface area?
4. What are real-life applications of calculating the surface area and volume of cuboids?
5. How would you calculate the surface area of a cuboid if given the diagonal length?

### Tip:
When calculating the volume or surface area, always ensure the units are consistent across all dimensions to avoid errors.

Learn how to find the volume and surface area of a rectangular box with dimensions 5m, 8m, and 4m. This solution uses key geometry concepts and provides detailed steps for calculating the volume and surface area of a cuboid. Suitable for students in Grades 5-7.

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