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What is the length of the diagonal of a cuboid with dimensions 2, 3, and 6? (202

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Question: What is the length of the diagonal of a cuboid with dimensions 2, 3, and 6? (2022)

Options:

  1. √49
  2. √45
  3. √36
  4. √50

Correct Answer: √49

Exam Year: 2022

Solution: 

Diagonal = √(2² + 3² + 6²) = √(4 + 9 + 36) = √49 = 7.

What is the length of the diagonal of a cuboid with dimensions 2, 3, and 6? (202

Practice Questions

Q1
What is the length of the diagonal of a cuboid with dimensions 2, 3, and 6? (2022)
  1. √49
  2. √45
  3. √36
  4. √50

Questions & Step-by-Step Solutions

What is the length of the diagonal of a cuboid with dimensions 2, 3, and 6? (2022)
  • Step 1: Identify the dimensions of the cuboid. They are 2, 3, and 6.
  • Step 2: Square each dimension. Calculate 2², 3², and 6².
  • Step 3: Calculate 2² = 4, 3² = 9, and 6² = 36.
  • Step 4: Add the squared values together. Calculate 4 + 9 + 36.
  • Step 5: The sum is 49.
  • Step 6: Take the square root of the sum. Calculate √49.
  • Step 7: The square root of 49 is 7.
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