Let 4x = the girth (each side = x) Let y = the length
4x + y = 114 maximum y = 114 - 4x
volume = x^2 * y v = x^2 * (114 - 4x) v = 114x^2 - 4x^3 . . . . . . v is maximum (or minimum) when it's derivative = 0 v ' = 228x - 12x^2
228x - 12x^2 = 0 12x * (19 - x) = 0
x = 0 <=== this is obviously a minimum volume or x = 19 inches <=== for maximum volume
4x + y = 1144*19 + y = 114y = 38 <===
The largest volume is 19 x 19 x 38
Each year is 12 months so it would be 1.5 years
Answer:
length=52mm
Step-by-step explanation:
For an equilateral triangle A=B=C=x
perimeter= A+B+C
156=x+x+x
3x=156
x=52mm
1. 10 boxes
2. about 20
3. 6x100 + (6x9)x10 + 6x8
So you can look at the first digit of each number: you have a 3, 2, 3. You know 2 is less than three. So 2,965,006 is the smallest number. You had two numbers where 3 was the first digit, so you look at the next number: a 5 and 2. 2 is smaller than 5, so 3,261,636 will be the next smallest.
Overall, least to greatest is:
2,965,006; 3,261,636; and finally 3,516,235 :)