Considering the volume of the cube, it is found that it has a diagonal with a length of 12 inches.
What is the volume of a cube?
The volume of a cube of side length a is given by:
V = a³.
The diagonal is given by:
[tex]D = \sqrt{3}a[/tex]
In this problem, the volume is of 340 in³, hence:
[tex]a³ = 340 \rightarrow a = \sqrt[3]{340} \rightarrow a = 6.98[/tex]
Hence, the diagonal is given by:
[tex]D = \sqrt{3} \times 6.98 = 12[/tex]
The cube has a diagonal with a length of 12 inches.
More can be learned about the volume of a cube at https://brainly.com/question/13030328
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