Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Perspective and Views: Objects look different when viewed from different positions. The Top View (also called a plan view) shows how an object looks from directly above, like seeing a circular cap on a bottle. The Side View and Front View show the height and width of the object as seen from the eye level.
Mapping Your Space: A map is a simplified drawing of a place seen from a top-down perspective. It helps us understand the layout of a room, a school, or a city. From the top view, a bed might look like a simple rectangle, and a chair might look like a small square.
Directions on a Map: There are four cardinal directions used for navigation: North (), South (), East (), and West (). In most standard maps, North is represented at the top, South at the bottom, East to the right, and West to the left.
Symbols and Legends: Since real objects cannot be drawn on a map, we use small symbols like a triangle for a mountain, a blue line for a river, or a cross for a hospital. The Legend or Key is a visual guide that explains what each symbol represents.
Scaling: Maps are much smaller than the actual ground they represent. A Scale tells us the relationship between the distance on the map and the real distance. For example, on the map might represent on the ground.
Route Finding: To find a path on a map, we look for landmarks (important buildings or features). We describe the route using turns (Left or Right) and distances. For example, to go from a house to a park, one might walk East for on the map and then turn Left (North).
📐Formulae
💡Examples
Problem 1:
On a city map, the scale is given as . If the distance between a school and a library is on the map, what is the actual distance between them?
Solution:
Step 1: Identify the scale, which is . Step 2: Identify the map distance, which is . Step 3: Multiply the map distance by the scale factor:
Explanation:
To find the real-world distance, we multiply the measured distance on the map by the value that represents in reality.
Problem 2:
A cylindrical water tank is placed on the ground. Describe what its Top View and Side View would look like.
Solution:
Step 1: Imagine looking at the cylinder from directly above. You would only see the flat circular surface. So, the Top View is a circle. Step 2: Imagine looking at the cylinder from the front or side. You would see its height and width. So, the Side View appears as a rectangle.
Explanation:
This demonstrates how 3D objects are represented as 2D shapes on a map or drawing depending on the observer's perspective.