The following blocks are of the same material. Which is the heaviest one ?
A
B
C
All equal
Answer is Wrong!
Answer is Right!
This question was previously asked in
UPSC CAPF – 2009
Block A: Appears to be a $2 \times 1 \times 1$ block. Volume $V_A = 2 \times 1 \times 1 = 2$ cubic units. (Composed of 2 unit cubes).
Block B: Appears to have a $2 \times 2$ base (4 unit cubes) and a $1 \times 1$ block (1 unit cube) stacked on top. Total volume $V_B = (2 \times 2 \times 1) + (1 \times 1 \times 1) = 4 + 1 = 5$ cubic units. (Composed of 5 unit cubes).
Block C: Appears to have an L-shaped base and a height of 2 units. The L-shaped base is a $2 \times 2$ square with a $1 \times 1$ corner removed, so the area of the base is $2 \times 2 – 1 \times 1 = 4 – 1 = 3$ square units. The height is 2 units. Total volume $V_C = \text{Area of base} \times \text{Height} = 3 \times 2 = 6$ cubic units. (Composed of 6 unit cubes).
Comparing the volumes: $V_A = 2$, $V_B = 5$, $V_C = 6$.
Block C has the largest volume (6 cubic units) and is therefore the heaviest.