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What is the length of the diagonal, ddd, of the rectangular prism shown below?

Round your answer to the nearest tenth.

What is the length of the diagonal, ddd, of the rectangular prism shown below? Round-example-1

2 Answers

7 votes

Answer:

9.6

Explanation:

User Hulkstance
by
5.9k points
4 votes

Answer:

≈ 9.6 units

Explanation:

Refer to attachment

The diagonal d is the hypotenuse of right triangle with sides of 5 and a

The line a is the hypotenuse of the right triangle with the sides of 2 and 8.

So, as per Pythagorean theorem:

  • d² = 5² + a²
  • d²= 5² + 2²+ 8² = 25 + 4 + 64 = 93
  • d² = 93
  • d = √93
  • d ≈ 9.6 units (rounded to the nearest tenth)
What is the length of the diagonal, ddd, of the rectangular prism shown below? Round-example-1
User Minn
by
6.3k points