Answer: First option.
Step-by-step explanation:
1. To solve this problem you can applly the quadratic formula, which is shown below:
2. The quadratic equation is:
3. Then:
a=1
b=-4
c=-38
4. Therefore, when you substitute these values into the quadratic formula, you obtain the following result:
x=2±√42
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Work Shown:
The idea is that when we subtract 10x and x, the infinite decimal pattern (the 4s that go on forever) will cancel. That leads to 9x = 4 which solves to x = 4/9
To find the volume we use an equation:
volume = length x width x height
Since this shape is a cube, you only need to know one side to find the volume since all of the sides are equal.
So all you need to find the volume is to multiply 4(1/2) which I am going to simplify to 4.5, is plug it into the equation.
volume = 4.5 x 4.5 x 4.5
Which will get you an answer of 91.125 inches cubed
Hope this helps :)
