Which of the following options represents the incorrect match of the given 3-D figures and their nets?

Options

A.
B.
C.
D.

Answer

To solve the question of identifying the incorrect match of given 3-D figures and their nets, we can follow these steps:

### Step 1: Understand the Concept of Nets
A net is a two-dimensional figure that can be folded to form a three-dimensional shape. Each face of the 3D figure corresponds to a part of the net.

**Hint:** Remember that a net includes all the faces of the 3D figure laid out flat.

### Step 2: Analyze Each Option
We need to evaluate each option to see if the net correctly represents the corresponding 3D figure.

**Hint:** Look for the number of faces in the 3D figure and compare it with the net.

### Step 3: Check the First Option
- The first figure is a pyramid. When opened, it should show a base and triangular faces.
- Count the faces: 1 base + 4 triangular faces = 5 faces.
- The net shows 5 parts, which matches.

**Hint:** Ensure that all faces are represented in the net.

### Step 4: Check the Second Option
- The second figure is a cylinder. The net should consist of a rectangle (the curved surface) and two circles (the top and bottom).
- Count the parts: 1 rectangle + 2 circles = 3 parts.
- The net shows 3 parts, which matches.

**Hint:** Each part of the net should correspond to a face of the 3D figure.

### Step 5: Check the Third Option
- The third figure is a cuboid. A cuboid has 6 faces (2 rectangles for the top and bottom, and 4 rectangles for the sides).
- Count the parts in the net: If there are only 5 parts shown, one face is missing.

**Hint:** A cuboid must have 6 faces in its net.

### Step 6: Check the Fourth Option
- The fourth figure is a cone. The net should consist of a circle (the base) and a triangle (the lateral surface).
- Count the parts: 1 circle + 1 triangle = 2 parts.
- The net shows 2 parts, which matches.

**Hint:** Ensure that the net includes all necessary components for the 3D shape.

### Conclusion
After analyzing all options, we find that the third option is incorrect because the net of the cuboid is missing one face.

**Final Answer:** The incorrect match is the third option.