A cube. the top face has points a, g, e, f and the bottom face has points b, h, d, c. the diagonal from a to e is startroot 288 endroot inches and the diagonal from a to d is startroot 432 endroot inches. what is the length of ed in the given cube? round to the nearest tenth of an inch if necessary. in.

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03-08-2022
Mathematics

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A cube. the top face has points a, g, e, f and the bottom face has points b, h, d, c. the diagonal from a to e is startroot 288 endroot inches and the diagonal from a to d is startroot 432 endroot inches. what is the length of ed in the given cube? round to the nearest tenth of an inch if necessary. in.

Sagot :

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Adioabiolaidn Adioabiolaidn · Answer 1 · 2022-08-05T16:32:54-04:00

The length of the line ed according to the description of the cube is; 8.5.

What is the length of ed in the given Cube?

First, since the shape is a cube, it follows that the diagonal of the top face can be used to determine the length of the sides of the top face.

Therefore , we have; length of each side of the top face;

ag = ge = ef = fa = √288/2 = 6√2.

Also, the diagonal of a to d is; √432 = 12√3.

Hence, the length of ed in the group as evident from the length of sides of the cube's top face in which case,

Consequently, the length of line ed is;√432 × 8.5.

Sagot :

What is the length of ed in the given Cube?

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