A diagonal of a cube measures 30 inches. The diagonal of a face measures StartRoot 600 EndRoot inches. In inches, what is the length of an edge of the cube? Round the answer to …

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asked Apr 22, 2021 46.0k views

2 Answers

Jarett · Answer 1 · 2021-04-26T11:10:04+0000

Answer:

17.3 Inches

Explanation:

Given that the diagonal of a cube = 30 inches

For a cube of side length s, Length of its diagonal
=s√(3)

Therefore:

$s√(3)=30\\$Divide both sides by √(3)\\s=30 / √(3)\\s=17.3$ inches (to the nearest tenth.)$

Side Length of the cube is 17.3 Inches.