Answer:
6+x
Step-by-step explanation:
An expression is a set of operations without an equal sign. This question is asking which operation is being performed. The question states that there should be six more than x, this means 6 is being added to x. So, addition should be used to make the expression.
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 = √
(<span>/3</span>³<span>) =
D</span>
³/√27