https://file.aiquickdraw.com/mathbot/file/1726394209173qlgy68pc.jpg

The 3D shape shown in the image is a cone with a base radius of 3 cm and a height of 4 cm.

To answer the question about which option shows the plan (top view) and which shows the side elevation:

1. **Plan (Top View)**: The top view of a cone is a **circle** representing the base. In this case, the base has a radius of 3 cm, so the option that shows a circle with this radius is the plan. This corresponds to **Option G**.

2. **Side Elevation**: The side elevation of a cone looks like a **triangle** because from the side, we see the slant height and the base forming a triangle. The option that shows a triangle that matches the cone's dimensions (base of 6 cm and height of 4 cm) is **Option C**.

So:
- **Plan (Top View)** = Option G.
- **Side Elevation** = Option C.

Would you like more details or have any questions?

Here are 5 related questions:
1. What would the front elevation of this cone look like?
2. How do we calculate the slant height of a cone?
3. What is the formula for the surface area of a cone?
4. How do you find the volume of a cone?
5. How would the plan change if the cone were truncated?

**Tip**: To differentiate between plan and elevation views of 3D shapes, remember that the plan shows the shape from above (usually a 2D outline), while elevation views show one of the sides, capturing height or depth.

Choose which option shows the plan and which option shows the side elevation of this 3D shape.

This problem asks you to identify the plan (top view) and side elevation of a cone with a base radius of 3 cm and a height of 4 cm. Learn how to differentiate between the plan and elevation of 3D shapes, such as cones, by understanding the projections and dimensions. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation