If we consider "a" as the edge length, and "D" the cube's diagonal, we have that the square cube's diagonal is equal to the edge length's square plus the side diagonal (d) square (Pythagoras theorem)
a² + d² = D²
And since:
d² = a² + a²
Clearing a, we have:
a² = D²-d²
<span>a² = D²-2a²
</span><span>3a² = D²
</span>
a = √(<span>
D²/3)</span>
Surface area is equal to 6·a², so the surface area will be 6·(D²/3) =
2D²The volume is a³, so the volume will be √(D²/3)³ = √
(![D^{6}](https://tex.z-dn.net/?f=%20D%5E%7B6%7D%20)
<span>/3</span>³<span>) =
D</span>
³/√27
Answer:
true
Step-by-step explanation:
11a - 2a
Factor out a
a(11-2)
a *9
9a
1) vertical angles theorem
2) transitive property of congruence
Answer: The sales tax would be $2.40
Step-by-step explanation:
Another way of writing any percent would be diving that percent by 100, so 3% would be 0.03 4% would be 0.04 and so forth.
All you have to do is multiply 80 by the decimal of the percent
80 * 0.03 =2.4 or $2.40