There are 6 honeycomb cells around cell A.There are 8 honeycomb cells around cells A and B together.How many honeycomb cells would there be around cells A,B and C ?

10 cells

Assuming it is a progression, I agree.

48 honeycomb

To find the number of honeycomb cells around cells A, B, and C together, you need to understand the pattern in the given information.

Let's analyze the given information step by step:

1. There are 6 honeycomb cells around cell A.

2. There are 8 honeycomb cells around cells A and B together.

From the second statement, we can deduce that the two additional honeycomb cells are shared between cells A and B. Therefore, we can find the number of honeycomb cells around cell A alone by subtracting these two shared cells from the total of 8.

Total honeycomb cells around A = 8 - 2 (shared with B) = 6 honeycomb cells around A.

Given that there are 6 honeycomb cells around A, it implies that cell C does not share any additional honeycomb cells with A and B. Therefore, we can sum up the number of honeycomb cells for each individual cell separately.

Total honeycomb cells around A, B, and C together = (6 honeycomb cells around A) + (6 honeycomb cells around B) + (6 honeycomb cells around C)
= 6 + 6 + 6
= 18 honeycomb cells in total.

So, there would be a total of 18 honeycomb cells around cells A, B, and C together.