Answer:
It should be 9 m :)
Step-by-step explanation:
Step-by-step explanation:
The volume of a cube is
![a {}^{3}](https://tex.z-dn.net/?f=a%20%7B%7D%5E%7B3%7D%20)
where a is the side length,
Note: If you want to remember this formula, know that a cube is basically a bunch of squares stacked on one another vertically and horizontally
The area of a square with side length a, is
![{a}^{2}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20)
If we multiply that by the height of the cube, which is a.
![{a}^{2} \times a = {a}^{3}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%20%5Ctimes%20a%20%3D%20%20%7Ba%7D%5E%7B3%7D%20)
That is the easy way to derive the formula of the volume of a cube.
Back on track, we know the volume so we must solve for a.
1.
![125 = {a}^{3}](https://tex.z-dn.net/?f=125%20%3D%20%20%7Ba%7D%5E%7B3%7D%20)
Assuming you took algebra, to isolate the variable a, we must undo it being raised to the third power.
To do this, we take the cube root of both sides
![\sqrt[3]{125} = \sqrt[3]{a {}^{3} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B125%7D%20%20%3D%20%20%5Csqrt%5B3%5D%7Ba%20%7B%7D%5E%7B3%7D%20%7D%20)
The cube root of 125 is 5 so
![5 = a](https://tex.z-dn.net/?f=5%20%3D%20a)
5 cm
2.
![8 = {a}^{3}](https://tex.z-dn.net/?f=8%20%3D%20%20%20%7Ba%7D%5E%7B3%7D%20)
![\sqrt[3]{8} = \sqrt[3]{ {a}^{3} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B8%7D%20%20%3D%20%20%5Csqrt%5B3%5D%7B%20%7Ba%7D%5E%7B3%7D%20%7D%20)
![2 = a](https://tex.z-dn.net/?f=2%20%3D%20a)
2 ft
3.
![343 = {a}^{3}](https://tex.z-dn.net/?f=343%20%3D%20%20%7Ba%7D%5E%7B3%7D%20)
![a = 7](https://tex.z-dn.net/?f=a%20%3D%207)
7 yd
4.
![1000 = a {}^{3}](https://tex.z-dn.net/?f=1000%20%3D%20a%20%7B%7D%5E%7B3%7D%20)
![10 = a](https://tex.z-dn.net/?f=10%20%3D%20a)
10 mm
5.
![1728 = {a}^{3}](https://tex.z-dn.net/?f=1728%20%3D%20%20%7Ba%7D%5E%7B3%7D%20)
![a = 12](https://tex.z-dn.net/?f=a%20%3D%2012)
12 in. or 1 ft
6.
![1 = {a}^{3}](https://tex.z-dn.net/?f=1%20%3D%20%20%7Ba%7D%5E%7B3%7D%20)
![a = 1](https://tex.z-dn.net/?f=a%20%3D%201)
1 m
Answer:
360
Step-by-step explanation:
length times width of the base then multiply by the height of the prism.
(4)(9)10
There are 8 gallons in 32 quarts becuase 4 quarts = 1 gallon so 32 divided by 4 is 8. Hope this helped! :)
Area = 16 ft.²
Use the square root process:
√16
√(4 * 4)
2√4 = 4