The fabric costs $8.95 per yard.
Answer:
![V = 473.9cm^3](https://tex.z-dn.net/?f=V%20%3D%20473.9cm%5E3)
Step-by-step explanation:
Given
![V = \sqrt{\frac{4s^3}{243\pi}}](https://tex.z-dn.net/?f=V%20%3D%20%5Csqrt%7B%5Cfrac%7B4s%5E3%7D%7B243%5Cpi%7D%7D)
Required
Find V, when s = 350
Substitute 350 for s in
![V = \sqrt{\frac{4s^3}{243\pi}}](https://tex.z-dn.net/?f=V%20%3D%20%5Csqrt%7B%5Cfrac%7B4s%5E3%7D%7B243%5Cpi%7D%7D)
![V = \sqrt{\frac{4 * 350^3}{243\pi}}](https://tex.z-dn.net/?f=V%20%3D%20%5Csqrt%7B%5Cfrac%7B4%20%2A%20350%5E3%7D%7B243%5Cpi%7D%7D)
![V = \sqrt{\frac{171500000}{243\pi}}](https://tex.z-dn.net/?f=V%20%3D%20%5Csqrt%7B%5Cfrac%7B171500000%7D%7B243%5Cpi%7D%7D)
Take: ![\pi = \frac{22}{7}](https://tex.z-dn.net/?f=%5Cpi%20%3D%20%5Cfrac%7B22%7D%7B7%7D)
So, we have:
![V = \sqrt{\frac{171500000}{243 * \frac{22}{7}}}](https://tex.z-dn.net/?f=V%20%3D%20%5Csqrt%7B%5Cfrac%7B171500000%7D%7B243%20%2A%20%5Cfrac%7B22%7D%7B7%7D%7D%7D)
![V = \sqrt{\frac{171500000*7}{243 * 22}}](https://tex.z-dn.net/?f=V%20%3D%20%5Csqrt%7B%5Cfrac%7B171500000%2A7%7D%7B243%20%2A%2022%7D%7D)
![V = \sqrt{\frac{1200500000}{5346}}](https://tex.z-dn.net/?f=V%20%3D%20%5Csqrt%7B%5Cfrac%7B1200500000%7D%7B5346%7D%7D)
![V = \sqrt{224560.419005}](https://tex.z-dn.net/?f=V%20%3D%20%5Csqrt%7B224560.419005%7D)
![V = 473.878063435](https://tex.z-dn.net/?f=V%20%3D%20473.878063435)
--- approximated
Answer:
1/4 is to 3/12
Step-by-step explanation:
1 * 3 = 3
4 * 3 = 12
The volume of a Cube/Rectangular Prism is Length times Width times Height, (or for short L*w*h).
For a cube, the length, width, and height are equal. So the volume of a cube is L*L*L
In the question it says that the you know the length of one of the cubes sides, which is (x + 5).
So L = (x + 5).
So, the unsimplified expression is:
L * L * L
= (x + 5) (x + 5) (x + 5)
= (x^2 + 10x + 25)(x + 5)
= x^3 + 10x^2 + 25x + 5x^2 + 50x + 125
= x^3 + 15x^2 + 75x + 125