https://file.aiquickdraw.com/mathbot/file/1725593578110hybnf4xt.jpg

I see you've uploaded an image that contains a mathematical problem. I will extract and analyze its contents.

The image contains the following questions related to a cuboid (rectangular prism):

1. **Determine the diagonal of the cuboid's base** (diagonal bidang alas).
2. **Determine the diagonal of the cuboid's lateral face** (diagonal bidang sisi).
3. **Determine the diagonal of the cuboid** (diagonal ruang).
4. **Calculate the surface area of the cuboid** (luas permukaan).

Additionally, there are specific cuboid dimensions given in later questions for further calculations.

Let me help you with the first few problems:

### 1. Diagonal of the base:
For a cuboid, if the dimensions of the base are \(a \times b\), the diagonal of the base is given by:
\[
d_{base} = \sqrt{a^2 + b^2}
\]

### 2. Diagonal of the lateral face:
For the lateral face, where the dimensions are \(a \times h\) (height \(h\)), the diagonal of the face can be calculated as:
\[
d_{side} = \sqrt{a^2 + h^2}
\]

### 3. Diagonal of the cuboid (space diagonal):
The space diagonal of the cuboid is given by:
\[
d_{cuboid} = \sqrt{a^2 + b^2 + h^2}
\]

### 4. Surface area of the cuboid:
The surface area \(A\) is calculated as:
\[
A = 2(ab + bh + ah)
\]

It appears the dimensions of the cuboid are provided in later problems. If you upload clearer information or provide the dimensions, I can calculate the specific values for these problems.

Let me know if you want more details on these, or if you want me to solve specific questions from the problem.

Here are 5 related questions:
1. How do you calculate the volume of a cuboid?
2. What is the formula for the perimeter of the cuboid's base?
3. How does the formula for the diagonal of a cube differ from that of a cuboid?
4. Can you derive the formula for the surface area of a cuboid?
5. What real-world objects can be modeled as cuboids?

**Tip:** For 3D shapes like cuboids, always visualize the diagonals and faces clearly to better understand the relationships between their dimensions.

Determine the diagonal of the cuboid's base, lateral face, and space diagonal. Calculate the surface area of the cuboid. Additional questions involve specific dimensions of the cuboid for further calculations.

Learn how to calculate the diagonals and surface area of a cuboid with step-by-step solutions. This includes the formulas for the base diagonal, lateral face diagonal, and space diagonal, as well as the surface area formula, suitable for students in Grades 8-10.

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