Question

ANSWER MARKED BRAINLYEST

What is the length of the diagonal of the rectangular solid shown?

A. 14.42 centimeters
B. 16.12 centimeters
C. 18.44 centimeters
D. 20.10 centimeters

Answer 1

Answer:

$\sqrt{(12) ^{2} + (8)^{2} + (14) ^{2} }$

Therefore, Diagonal = 20.09

Answer 2

Given: Length= 12cm , Width= 8cm , Height= 14cm

To find: The length of the diagonal of the rectangular solid shown.

Finding the length of the diagonal of the rectangular solid shown:

• The formula for calculating the length of the diagonal = √(l² + w² + h²) units.
• By using the formula,
• We get the length of the diagonal of the rectangular solid= √(12² + 8² + 14²)
• length of the diagonal of the rectangular solid = √(144 + 64 + 196) = √404
• length of the diagonal of the rectangular solid = √(144 + 64 + 196) = √404Therefore, the length of the diagonal of the rectangular solid = 20.10
• Hence, the correct answer among all the options is D. 20.10 centimeters.

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