Question 12

We will carefully examine each 3D object and determine its front, top, and side views, then find the corresponding set of 2D projections.

Step 1 — Object (a): Green Mug

Let us look at the green mug. The 'F' arrow shows the front, 'T' shows the top, and 'S' shows the side. From the front, we see the body of the mug and its handle. From the top, we see the circular opening of the mug and the top part of the handle. From the side, we see the body of the mug and its handle. This description perfectly matches the projection set (viii).

$\boxed{\text{(a) - (viii)}}$

Step 2 — Object (b): Funnel

Let us look at the funnel. The 'F' arrow shows the front, 'T' shows the top, and 'S' shows the side. From the front, we see the cone shape and the narrow tube at the bottom. From the top, we see a perfect circle, which is the wide opening of the funnel. From the side, we see the cone shape and the narrow tube at the bottom, just like the front view. This description perfectly matches the projection set (vi).

$\boxed{\text{(b) - (vi)}}$

Step 3 — Object (c): Hammer

Let us look at the hammer standing upright. The 'F' arrow shows the front, 'T' shows the top, and 'S' shows the side. From the front, we see the main head of the hammer and the handle extending downwards. From the top, we see the rectangular top surface of the hammer head and the small oval top of the handle. From the side, we see the side profile of the hammer head, including the claw, and the handle. This description perfectly matches the projection set (iii).

$\boxed{\text{(c) - (iii)}}$

Step 4 — Object (d): Car

Let us look at the red car. The 'F' arrow shows the front, 'T' shows the top, and 'S' shows the side. From the front, we see the headlights, grille, and windshield. From the top, we see the roof, bonnet, and boot of the car. From the side, we see the entire profile of the car, including the wheels and windows. This description perfectly matches the projection set (i).

$\boxed{\text{(d) - (i)}}$

Step 5 — Object (e): Block on Ramp

Let us look at the block sliding down a ramp. The 'F' arrow shows the front, 'T' shows the top, and 'S' shows the side. From the front, we see the rectangular face of the block and the inclined plane of the ramp. From the top, we see the rectangular top surface of the block. From the side, we see the block resting on the inclined ramp. This description perfectly matches the projection set (vii).

$\boxed{\text{(e) - (vii)}}$

Step 6 — Object (f): Chair

Let us look at the wooden chair. The 'F' arrow shows the front, 'T' shows the top, and 'S' shows the side. From the front, we see the backrest and the front legs of the chair. From the top, we see the square seat of the chair. From the side, we see the side profile of the backrest, seat, and legs. This description perfectly matches the projection set (iv).

$\boxed{\text{(f) - (iv)}}$

Step 7 — Object (g): Ceiling Fan

Let us look at the ceiling fan. The 'F' arrow shows the front, 'T' shows the top, and 'S' shows the side. From the front, we see the central motor housing and parts of the blades. From the top, we see the three blades spread out from the central motor. From the side, we see the motor housing and the blades extending outwards. This description perfectly matches the projection set (v).

$\boxed{\text{(g) - (v)}}$

Step 8 — Object (h): Bucket

Let us look at the bucket. The 'F' arrow shows the front, 'T' shows the top, and 'S' shows the side. From the front, we see the main body of the bucket. From the top, we see the circular opening of the bucket and the handle. From the side, we see the body of the bucket and its handle. This description perfectly matches the projection set (ii).

$\boxed{\text{(h) - (ii)}}$

Answer

(a) - (viii) (b) - (vi) (c) - (iii) (d) - (i) (e) - (vii) (f) - (iv) (g) - (v) (h) - (ii)