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Each edge of a cube has a length of 25.4 cm. What is the length of a diagonal of the cube going through the center of the cube?

1. 25.4 cm
2. 35.9 cm
3. 50.8 cm
4. 60.2 cm

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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Rewritten by : Jeany