Review the key concepts, formulae, and examples before starting your quiz.
šConcepts
Different Views of an Object: The way an object looks depends on where you are standing to look at it. Most objects have a Top View (looking down from above), a Front View (looking from the face), and a Side View. For example, a thermos flask looks like a circle with a small dot from the top, but like a tall rectangle from the side.
Perspective and Distance: Objects that are closer to your eyes look larger and the gaps between them look wider. As objects get further away, they appear smaller and closer together. Imagine looking down a long road or a railway track; the two parallel lines seem to meet at a single point far away because of this perspective.
The Dice Rule: A dice is a cube where each face has a specific number of dots. In a standard dice, the sum of the numbers on any two opposite faces is always equal to . This means if you see on top, the number is on the bottom ().
Mapping Routes: A map is a representation of an area as seen from the top. To describe a route on a map, we use landmarks (like a school, a milk booth, or a bridge) and directions. When moving through a map, you must imagine yourself walking that path to decide whether to turn 'left' or 'right'.
Floor Maps vs. Deep Drawings: A 'Floor Map' is a 2D drawing showing the position of doors and windows in a house from a top view. However, a 'Deep Drawing' is a 3D representation that shows the height and shape of the house, making it look more realistic like a solid object.
Matching Views: Sometimes a single object can look very different in its 2D and 3D forms. For example, a 3D cone looks like a triangle from the side, but if you look straight down into it from the top, it looks like a circle with a dot in the center representing the tip.
šFormulae
š”Examples
Problem 1:
Gipu is playing with a dice. He sees the number on the top face. What number is on the bottom face which is touching the floor?
Solution:
- According to the standard dice rule, the sum of opposite faces is always . \ 2. The top and bottom faces are opposite to each other. \ 3. . \ 4. .
Explanation:
Since the sum of opposite sides of a dice is a constant , we subtract the visible top number from to find the hidden bottom number.
Problem 2:
Look at a pair of shoes. Describe how the 'Side View' differs from the 'Top View'.
Solution:
- In the 'Top View', you see the opening for the foot, the laces, and the rounded shape of the toe area. \ 2. In the 'Side View', you see the height of the shoe, the sole, the heel, and the long profile from the toe to the back.
Explanation:
This demonstrates spatial understanding by showing how the same 3D object presents different 2D shapes (outlines) based on the observer's position.