Adding hexagonal numbers results in cumulative totals (1, 8, 27…). These align with cube numbers. Pictorially, arranging hexagonal layers symmetrically builds a 3D cube, illustrating how layers fill volumetric space sequentially.
class 6 Mathematics Textbook Chapter 1 question answer
class 6 Mathematics Chapter 1 Patterns in Mathematics solutions
Summing hexagonal numbers produces cube numbers (1, 8, 27). Visualizing this involves stacking hexagonal layers symmetrically into a cube. For instance, adding 1+7 creates a base layer, while subsequent layers form a 2x2x2 cube. Adding additional hexagonal numbers expands the cube proportionally (3x3x3). This representation connects hexagonal growth in two dimensions to cubic structures in three dimensions, highlighting the geometric and numerical progression.
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So ,
We have a cube that take 1,1+7,1+7+19,1+7+19+37
Now,
1+0=1
1+7=8
1+7+19=27
1+7+19+37=64
1+8+27+64=100
💯+64+21=185
Therefore, 185mi that make a cube