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Find the length of the diagonal of a cuboid with dimensions 3, 4, and 12 units.
Find the length of the diagonal of a cuboid with dimensions 3, 4, and 12 units. (2020)
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Practice Questions
1 question
Q1
Find the length of the diagonal of a cuboid with dimensions 3, 4, and 12 units. (2020)
√169
√145
√153
√157
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Diagonal = √(3² + 4² + 12²) = √(9 + 16 + 144) = √169 = 13.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the length of the diagonal of a cuboid with dimensions 3, 4, and 12 units. (2020)
Solution:
Diagonal = √(3² + 4² + 12²) = √(9 + 16 + 144) = √169 = 13.
Steps: 7
Show Steps
Step 1: Identify the dimensions of the cuboid. The dimensions are 3 units, 4 units, and 12 units.
Step 2: Write down the formula for the diagonal of a cuboid, which is Diagonal = √(length² + width² + height²).
Step 3: Substitute the dimensions into the formula: Diagonal = √(3² + 4² + 12²).
Step 4: Calculate each squared value: 3² = 9, 4² = 16, and 12² = 144.
Step 5: Add the squared values together: 9 + 16 + 144 = 169.
Step 6: Take the square root of the sum: √169 = 13.
Step 7: Conclude that the length of the diagonal of the cuboid is 13 units.
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