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ASHA 777 [7]
3 years ago
11

What is the length of a diagonal of a cube with a side length of 6 inches?

Mathematics
2 answers:
RSB [31]3 years ago
5 0

Answer:

d = 6√3 inches ≈ 10.40 inches

Step-by-step explanation:

d² = a² + c²

= 36 + 72

= 108

d = √108

= √3×36

= √3×6²

= 6√3 inches

= 6×1.73 inches

= 10.38 inches

≈ 10.40 inches

valkas [14]3 years ago
5 0

Answer:

10.4 inches

Step-by-step explanation:

To find the length of the diagonal through the cube, we use the Pythagorean theorem again with legs sqrt(72)  and 6, looking for the hypotenuse

a^2 + b^2 = c^2

6^2 + (sqrt(72)^2) = c^2

36 +72 = c^2

108 = c^2

Take the square root of each side

sqrt(108) = sqrt(c^2)

sqrt(108) = c

10.39230485 =c

Rounding to the nearest tenth

10.4 = c

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3 years ago
In which quadrant will θ lie if csc θ > 0 and cos θ < 0?
musickatia [10]

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We know:

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7 0
3 years ago
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aleksklad [387]

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Luba_88 [7]

Answer:

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Step-by-step explanation:

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