Answer:
<em>The volume of the cube is </em>
<em>cu in.</em>
Step-by-step explanation:
<u>The Volume of a Cube</u>
Let's have a cube of side length a. The volume of the cube is:
![V=a^3](https://tex.z-dn.net/?f=V%3Da%5E3)
The cube of the image has a side length of
![\displaystyle a=\frac{3x^{-3}}{z}\ inches](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%3D%5Cfrac%7B3x%5E%7B-3%7D%7D%7Bz%7D%5C%20inches)
Simplifying the expression of the base by converting the negative exponent in the numerator to the denominator:
![\displaystyle a=\frac{3}{zx^{3}}\ inches](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%3D%5Cfrac%7B3%7D%7Bzx%5E%7B3%7D%7D%5C%20inches)
Now find the volume:
![\displaystyle V=\left(\frac{3}{zx^{3}}\ inches\right)^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cleft%28%5Cfrac%7B3%7D%7Bzx%5E%7B3%7D%7D%5C%20inches%5Cright%29%5E3)
Applying the exponents:
![\displaystyle V=\frac{3^3}{z^3x^{9}}\ inches^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B3%5E3%7D%7Bz%5E3x%5E%7B9%7D%7D%5C%20inches%5E3)
![\displaystyle V=\frac{27}{z^3x^{9}}\ inches^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B27%7D%7Bz%5E3x%5E%7B9%7D%7D%5C%20inches%5E3)
The volume of the cube is
cu in.
Answer: 98! :)
Explanation:
4/3 = ?/42
42 divided by 3 is 14.
Multiply 14 x 4 = 56.
4/3 = 56/42
Now you add 56 + 42 = 98.
Answer:
256
Step-by-step explanation:
3200 x 0.08 = 256
Answer:
2. The office and the music room
6. 68 in. I think?
Step-by-step explanation:
You walked 5/6 mile
1/3(x2)=2/6
1/2(x3)=3/6
5/6 mile