Thus, the greatest multiple of 5 satisfying $ u^3 < 1500 $ is $ u = 10 $.

Sat, 02 May 2026 12:11:17 +0000

Understanding Why $ u = 10 $ Is the Greatest Multiple of 5 with $ u^3 < 1500 $ When solving mathematical problems involving multiples and inequalities, clarity and precision are key. One common question that arises is: What is the greatest multiple of 5 such that $ u^3 < 1500 $? The answer is $ u = 10 $. But how do we determine this decisively—and why is 10 the conclusive solution? ### The Math Behind the Question We seek the largest number $ u $ that meets two conditions: 1. $ u $ is a multiple of 5 ($ u = 5k $ for some integer $ k $) 2. $ u^3 < 1500 $