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Answer :
Final answer:
To find the length of the diagonal of a cube, you can use the Pythagorean theorem. In this case, the length of the diagonal is approximately 35.9 cm.
Explanation:
To find the length of the diagonal of a cube, we can use the Pythagorean theorem. The diagonal of a cube is the hypotenuse of a right triangle formed by two adjacent edges. Since all edges of a cube are of equal length, the two edges adjacent to the diagonal form a right triangle with legs of 25.4 cm.
Using the Pythagorean theorem, we can calculate the length of the diagonal:
d = sqrt(25.4^2 + 25.4^2)
d = sqrt(2 * (25.4)^2)
d = sqrt(2) * 25.4
d = 25.4 * sqrt(2)
d ≈ 35.9 cm
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