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
Answer:
B.
Step-by-step explanation:
The problem has got to be addition.
The sentence "Sarah is 6 years older than Amy." does not include any hint of subtracting, or multiplying.
A hint of multiplying in a expression would be the word 'times', like "Brandon is 6 times the age of Emily" which eliminates D.
A hint of subtraction in an expression would be the word 'less', like "Brandon is 6 less the age of Emily." which eliminates A and C.
The word 'older' indicates addition, or adding, and if it would have been subtraction, the keyword would be 'younger' because you are subtracting their age, like 19 - 11. The same goes with B, but adding.
Finally, we now know that it is B because there is no other addition choice.
I hope this helped. Please correct me if I am wrong.
Answer:
Step-by-step explanation:
slope (rise over run) choose 2 points that are easy to figure out. Count up and over to get the slope
(0,3) and (4,4)
3 to 4 is 1
0 to 4 is 4
slope is 1/4
y intercept is b- so +3
y=
Answer:
$6.79
Step-by-step explanation: