Fourteen Unit Cubes

Geometry Level 2

Fourteen unit cubes are glued together as shown. How many square units are in the surface area of the resulting solid?


The answer is 46.

Marvin Kalngan by Marvin Kalngan , 38, Philippines

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2 solutions

Yuriy Kazakov
Apr 21, 2021

14 ⋅ 6 = 84 14 \cdot 6 = 84

84 − 3 ⋅ 6 − 2 ⋅ 10 = 46 84 - 3 \cdot 6 - 2 \cdot 10 = 46

0 Helpful 1 Interesting 1 Brilliant 0 Confused
Richard Desper
Apr 19, 2021

14 squares facing forward 14 squares facing backward 4 squares on top 1 square facing up on top of 2nd row from bottom (no matter the position, there's one square unit exposed) 3 squares on bottom 1 unit square of area on each of 2nd row, 4th row from bottom facing down 4 squares on each of left, right side 14 + 14 + 4 + 1 + 3 + 1 + 1 + 4 + 4 =46

1 Helpful 1 Interesting 0 Brilliant 2 Confused

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