Answer:

Step-by-step explanation:



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The answer is 114sqrt{6} in³
A regular hexahedron is actually a cube.
Diagonal of a cube D is a hypotenuse of a right triangle which other two legs are face diagonal (f) and length of a side (a):
D² = f² + a²
Face diagonal is a hypotenuse of a right triangle which sides are a and a:
f² = a² + a² =2a²
D² = f² + a²
f² = 2a²
D² = 2a² + a² = 3a²
D = √3a² = √3 * √a² = √3 * a = a√3
Volume of a cube with side a is: V = a³
D = a√3
⇒ a = D/√3
V = a³ = (D/√3)³
We have:
D = 8√2 in
The statement "That does not extend in both directions." will make the definition, precise.
Kevin's line segment definition is correct.
However, the end points in a line segment implies that the line segment does not extend past its two end points.
So, to make it precise;
Kevin needs to include that the line segment does not extend in both directions, in the definition.
Hence, option (c) is correct.
Read more about line segments at:
brainly.com/question/19203823