Match each of the following objects with its projections.

Question

Homi · Accepted Answer

Understand the Question

To find the correct set of 2D projections for each 3D object, we observe the object from three standard viewpoints:

Front View ( $ext{F}$ ): The outline seen when looking directly at the front of the object.
Top View ( $ext{T}$ ): The outline seen when looking straight down from directly above.
Side View ( $ext{S}$ ): The outline seen when looking directly from the side profile.

By comparing these three views against the given projection options, we can uniquely identify the matching set for each object.

(a) Match Object (a): Green Mug with its projections.

Step 1 · Identify Views for Green Mug

Diagram 1

Front view ( $ext{F}$ ): Body of the mug and its handle.
Top view ( $ext{T}$ ): Circular opening of the mug and top part of the handle.
Side view ( $ext{S}$ ): Body of the mug and its handle.

This matches projection set (viii).

Answer

(a) (viii)

(b) Match Object (b): Funnel with its projections.

Step 1 · Identify Views for Funnel

Diagram 2

Front view ( $ext{F}$ ): Conical upper body and narrow cylindrical spout.
Top view ( $ext{T}$ ): Circular opening of the funnel.
Side view ( $ext{S}$ ): Conical body and narrow tube, identical to the front view.

This matches projection set (vi).

Answer

(b) (vi)

(c) Match Object (c): Hammer with its projections.

Step 1 · Identify Views for Hammer

Diagram 3

Front view ( $ext{F}$ ): Main head of the hammer and the handle extending downwards.
Top view ( $ext{T}$ ): Rectangular top surface of the hammer head and the oval top of the handle.
Side view ( $ext{S}$ ): Side profile of the hammer head, claw, and handle.

This matches projection set (iii).

Answer

(c) (iii)

(d) Match Object (d): Car with its projections.

Step 1 · Identify Views for Car

Diagram 4

Front view ( $ext{F}$ ): Headlights, grille, and windshield.
Top view ( $ext{T}$ ): Roof, bonnet, and boot of the car.
Side view ( $ext{S}$ ): Side profile including the wheels and side windows.

This matches projection set (i).

Answer

(d) (i)

(e) Match Object (e): Block on Ramp with its projections.

Step 1 · Identify Views for Block on Ramp

Diagram 5

Front view ( $ext{F}$ ): Rectangular face of the block and the inclined plane.
Top view ( $ext{T}$ ): Rectangular top surface of the block.
Side view ( $ext{S}$ ): Block resting on the inclined triangular ramp.

This matches projection set (vii).

Answer

(e) (vii)

(f) Match Object (f): Chair with its projections.

Step 1 · Identify Views for Chair

Diagram 6

Front view ( $ext{F}$ ): Backrest and the front legs of the chair.
Top view ( $ext{T}$ ): Square seat of the chair.
Side view ( $ext{S}$ ): Side profile of the backrest, seat, and legs.

This matches projection set (iv).

Answer

(f) (iv)

(g) Match Object (g): Ceiling Fan with its projections.

Step 1 · Identify Views for Ceiling Fan

Diagram 7

Front view ( $ext{F}$ ): Central motor housing and horizontal profile of blades.
Top view ( $ext{T}$ ): Three blades radiating symmetrically from the central motor.
Side view ( $ext{S}$ ): Motor housing and side view of the blades.

This matches projection set (v).

Answer

(g) (v)

(h) Match Object (h): Bucket with its projections.

Step 1 · Identify Views for Bucket

Diagram 8

Front view ( $ext{F}$ ): Tapered body of the bucket.
Top view ( $ext{T}$ ): Circular opening of the bucket and the handle across it.
Side view ( $ext{S}$ ): Body of the bucket and side view of its handle.

This matches projection set (ii).

Answer

(h) (ii)

Common Mistakes

Confusing Front and Side Views: Symmetrical 3D objects (like a funnel) have identical front and side views, but asymmetrical objects (like a mug or hammer) feature distinct details like handles or claws in specific views.
Overlooking 2D Flattening in Top View: In a top-down view (plan view), all vertical height is flattened, reducing 3D components to 2D circles, squares, or rectangles.

Question 12

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