https://file.aiquickdraw.com/mathbot/file/17264768137969z1h26em.jpg

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The given dimensions for the rectangular prism (cuboid) are:
- Height (h) = 3 cm
- Width (w) = 4 cm
- Length (l) = 10 cm

We need to calculate:
1. **Area of the front face**: This face has dimensions of height (3 cm) and width (4 cm).
   - \( \text{Area of front face} = h \times w = 3 \, \text{cm} \times 4 \, \text{cm} = 12 \, \text{cm}^2 \)

2. **Area of the right face**: The area is already given as \( 30 \, \text{cm}^2 \).

3. **Area of the top face**: This face has dimensions of width (4 cm) and length (10 cm).
   - \( \text{Area of top face} = w \times l = 4 \, \text{cm} \times 10 \, \text{cm} = 40 \, \text{cm}^2 \)

4. **Total surface area**: The surface area of a cuboid is the sum of the areas of all six faces. Each pair of opposite faces is equal, so the formula for the total surface area is:
   \[
   \text{Total surface area} = 2(hw + hl + wl)
   \]
   Substituting the given values:
   \[
   \text{Total surface area} = 2(3 \times 4 + 3 \times 10 + 4 \times 10) = 2(12 + 30 + 40) = 2(82) = 164 \, \text{cm}^2
   \]

### Summary:
- Area of front face = \( 12 \, \text{cm}^2 \)
- Area of right face = \( 30 \, \text{cm}^2 \) (given)
- Area of top face = \( 40 \, \text{cm}^2 \)
- Total surface area = \( 164 \, \text{cm}^2 \)

Would you like any further explanation on these calculations?

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Here are 5 related questions:
1. What is the volume of the cuboid using the given dimensions?
2. How would the total surface area change if the height were doubled?
3. If the dimensions were halved, what would the new total surface area be?
4. How do you calculate the lateral surface area of a cuboid?
5. What is the diagonal length of this cuboid?

**Tip**: To calculate the surface area of any 3D object, remember to sum the areas of all its faces. For cuboids, it’s important to identify the dimensions for each face!

Calculate the area of the front, right, top face, and total surface area of a cuboid with dimensions 3 cm (height), 4 cm (width), and 10 cm (length).

Learn how to calculate the surface area of a cuboid with dimensions of 3 cm, 4 cm, and 10 cm. This problem includes step-by-step solutions for finding the area of each face and the total surface area. Suitable for students in Grades 6-8.

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