Answer:
The Volume of the cube is

Step-by-step explanation:
we know that
The volume of a cube is equal to

where
s is the length side of the cube
In this problem we have

Substitute

Remember that

](https://tex.z-dn.net/?f=%284x%5E%7B2%7D%20%2B3%29%5E%7B2%7D%284x%5E%7B2%7D%20%2B3%29%3D%5B16x%5E%7B4%7D%2B24x%5E%7B2%7D%20%2B9%5D%28%204x%5E%7B2%7D%20%2B3%29)

Combine like terms

Hope this is what you were looking for:)
Answer:
The area of the square base is 114 in. 2
The area of each triangular face is 66 in. 2
Gabriel will need 408 in. 2 of paint
4 cups in a quart so you would have 72 cups divided by 4 and get 18
Answer: 289 units
Step-by-step explanation:
Given the following :
Inventory (I) = 180
Lead time (L) = 7 days
Review time (T) = 2 weeks = 14 days
Demand (D) = 20
Standard deviation (σ) = 5
Zscore for 95% probability = 1.645
Units to be ordered :
D(T + L) + z(σT+L)
(σT+L) = √(T + L)σ²
= √(14 + 7)5²
= √(21)25
= 22.9
D(T + L) + z(σT+L) - I
20(14 + 7) + 1.645(22.9 + 7) - I
= 420 + 49.1855 - 180
= 289.1855
= 289 quantities