Answer:
Given,
aabbcc = 10 cm
AABBCC = 22 cm
The genes are additive which means that each dominant allele will contribute to the overall height. The base minimum height is 10 cm (no dominant allele) and the maximum height is 22 cm (all six dominant alleles). Thus, six dominant alleles contribute 12 cm of height to the base height, which means that each dominant allele adds 2 cm of height.
When, aabbcc X AABBCC :
AaBbCc ( F1 )
When, AaBbCc X AaBbCc :
7 types of phenotype is possible. They are:
6 dominant alleles = 22 cm
5 dominant alleles = 20 cm
4 dominant alleles = 18 cm
3 dominant alleles = 16 cm
2 dominant alleles = 14 cm
1 dominant allele = 12 cm
0 dominant allele = 10 cm
They will be in the ratio = 1 : 6 : 15 : 20 : 15 : 6 : 1 as given by the ratio of additive effect governing three loci. The intermediate phenotype ( 16 cm ) will be maximum in number and the numbers will decrease as we move to the extremes.