To find the length of the pole, we need to determine the total length of the pole based on the portions painted red, blue, and white.
1. Let's first calculate the fraction of the pole that is painted white. We know that one third is painted red, one fifth is painted blue, and the rest, which is the portion painted white, is equal to 1 - (1/3 + 1/5) since the total should add up to 1.
2. Calculate the portion painted white:
1 - (1/3 + 1/5) = 1 - (5/15 + 3/15) = 1 - 8/15 = 7/15
3. We are given that the portion painted white is 210 cm long, which corresponds to 7/15 of the total length of the pole. Now, we can find the total length of the pole.
4. Let x represent the total length of the pole:
(7/15)x = 210
x = 210 * (15/7)
x = 450 cm
Therefore, the length of the pole is 450 cm.
