Answer:
10
Step-by-step explanation:
first you need to find the prime factors of the three numbers
ex:
prime factor of 18=
prime of 24=
there is one 2 and one 3 in common
greatest common multiple 2*3=6
so the greatest common multiple is ten because it is the only one that can divide between all three evenly.
so 10 is your answer
Answer:
a. V = (20-x)
b . 1185.185
Step-by-step explanation:
Given that:
a. Write a polynomial function in factored form modeling the volume V of the box.
As we know that, this is a rectangular box has a square base so the Volume of it is:
V = h *
<=> V = (20-x)
b. What is the maximum possible volume of the box?
To maximum the volume of it, we need to use first derivative of the volume.
<=> dV / Dx = -3 + 40x
Let dV / Dx = 0, we have:
-3 + 40x = 0
<=> x = 40/3
=>the height h = 20/3
So the maximum possible volume of the box is:
V = 20/3 * 40/3 *40/3
= 1185.185