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Let's break down and solve the given problem step by step:

### 4.1 Determine the volume of the pyramid.

The formula for the volume \( V \) of a pyramid is:

\[
V = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]

#### Base Area:
The base of the pyramid is a rectangle with dimensions \( 4 \, \text{cm} \times 5 \, \text{cm} \). Thus, the area of the base is:

\[
\text{Base Area} = 4 \, \text{cm} \times 5 \, \text{cm} = 20 \, \text{cm}^2
\]

#### Height:
The height of the pyramid is given as \( 6 \, \text{cm} \).

Now, substituting these values into the volume formula:

\[
V = \frac{1}{3} \times 20 \, \text{cm}^2 \times 6 \, \text{cm}
\]
\[
V = \frac{1}{3} \times 120 \, \text{cm}^3 = 40 \, \text{cm}^3
\]

So, the volume of the pyramid is **40 cm³**.

---

### 4.2 Which option represents the correct net (planification) of the pyramid?

To determine the correct net, let's consider the structure of the pyramid:
- The base is a rectangle.
- The sides are triangular faces.

The net of a pyramid consists of the base (a rectangle) and the triangular faces attached to the edges of the rectangle. Since the pyramid has four triangular faces (one attached to each edge of the rectangle), we need to find which diagram correctly shows this configuration.

Option **(A)** correctly represents the net of the pyramid. It shows a rectangle (base) with four triangles attached to its edges, which matches the structure of the pyramid.

---

### Summary of Answers:
- **4.1:** The volume of the pyramid is **40 cm³**.
- **4.2:** The correct option for the net of the pyramid is **(A)**.

Would you like further clarification on any part? Here are some related questions you might find useful:

1. What is the general formula for the volume of a pyramid with a different-shaped base?
2. How do you calculate the surface area of a pyramid?
3. How can the net of a pyramid help visualize its 3D structure?
4. How would the volume change if the height were doubled?
5. How can we verify that option (A) is the correct net for this specific pyramid?

#### Tip:
Always check that the base and the number of triangular faces match the pyramid's structure when identifying the correct net!

A pirâmide reta tem uma base retangular de 4 cm por 5 cm e uma altura de 6 cm. Determine o volume da pirâmide e escolha qual das opções A, B, C, ou D representa a planificação da pirâmide.

Learn how to calculate the volume of a pyramid with a rectangular base measuring 4 cm by 5 cm and a height of 6 cm. Find out which net correctly represents the unfolded structure of the pyramid. This problem includes geometry concepts suitable for students in Grades 8-10.

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