For this, we will be using vertex form. Firstly, plug the vertex into the vertex form equation:
Next, we need to solve for a. Plug in (-2,4) into the x and y coordinates to solve for a as such:
Putting our equation together,<u> it's </u>
<u>*Additional section*</u>
Converting to standard form as such:
Step-by-step explanation:
The volume of a cube is
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
If we multiply that by the height of the cube, which is a.
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.
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
The cube root of 125 is 5 so
5 cm
2.
2 ft
3.
7 yd
4.
10 mm
5.
12 in. or 1 ft
6.
1 m