Unit size cubes are stacked inside a big rectangular box having dimensions corresponding to three consecutive multiples of 5. Choose exact number of cubes that can completely fill the box.
Choices:
A) 750	B) 850	C) 950	D) 1050	E) None of the above
Let the dimensions of the box be, length=5*a, breadth=5*(a+1), height=5*(a+2)   Hence, volume=5*5*5*a*(a+1)*(a+2)   Among any 3 consecutive positive integers, we will either have (a number that is divisible by both 23) or (a number divisible by 2 and another number divisible by 3).   Volume= multiple of (125*2*3)   750=125*2*3   750nswer:750
<result>A</result>
Unit size cubes are stacked inside a big rectangular box having dimensions corresponding to three consecutive multiples of 5. Choose exact number of cubes that can completely fill the box.