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mykiagray
18.12.2019 •
Mathematics
Hello, i need with question 5 :
« suppose you have a cube with side =x and you would like to build its dual that fits inside of a cube. what will be the measure of a side of a dual in terms of x? name the dual. »
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Ответ:
Measurements of each side of the dual in terms of x will be x∛2 units.
Step-by-step explanation:
If the side of the original cube is x units, then its volume will be,
cubic units.
Now, volume of its dual is
cubic units.
Therefore, if I would like to build the dual of the original cube that fits inside another cube, then the measurement of each side of this dual cube is X units.
So, volume of the dual cube![V' = X^{3} = 2x^{3}](/tpl/images/0424/3038/102a4.png)
⇒ X = x∛2 units. (Answer)
Ответ: