https://file.aiquickdraw.com/mathbot/file/1730382144947zhmclrxc.jpg

To find the surface area of the cuboid based on the provided net, we should identify the areas of each of the six faces and add them together.

Given dimensions from the net:
- Length \( l = 5 \) cm
- Width \( w = 3 \) cm
- Height \( h = 4 \) cm

The cuboid has six faces, with pairs of opposite faces being identical:
1. Two faces with dimensions \( 5 \, \text{cm} \times 3 \, \text{cm} \)
2. Two faces with dimensions \( 5 \, \text{cm} \times 4 \, \text{cm} \)
3. Two faces with dimensions \( 3 \, \text{cm} \times 4 \, \text{cm} \)

### Calculating each face area:
1. Area of \( 5 \times 3 = 15 \, \text{cm}^2 \) (two such faces)
2. Area of \( 5 \times 4 = 20 \, \text{cm}^2 \) (two such faces)
3. Area of \( 3 \times 4 = 12 \, \text{cm}^2 \) (two such faces)

### Total surface area:
The surface area \( A \) is calculated as follows:
\[
A = 2 \times (15 + 20 + 12) = 2 \times 47 = 94 \, \text{cm}^2
\]

### Answer:
The surface area of the cuboid is \( 94 \, \text{cm}^2 \).

Would you like further details, or do you have any questions?

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Here are five related questions to explore:

1. How would the surface area change if the dimensions of the cuboid were doubled?
2. What is the volume of this cuboid, given its dimensions?
3. How do we calculate the surface area if the shape was a cube instead?
4. If only one dimension (length) were increased, how would that affect the surface area?
5. How does the surface area formula change for a cylinder compared to a cuboid?

**Tip:** Always remember that opposite faces on a cuboid have equal areas. This helps in quickly calculating the total surface area by multiplying by two.

The net of a cuboid is shown below. Work out the surface area of the cuboid.

Learn how to calculate the surface area of a cuboid by analyzing its net. Given dimensions of 5 cm, 3 cm, and 4 cm, this problem covers essential geometry concepts and step-by-step calculations. Ideal for students in Grades 6-8.

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