Solve the Problem $\mathrm { d } = \sqrt { \mathrm { L } ^ { 2 } + \mathrm { W } ^ { 2 } + \mathrm { H } ^ { 2 } }$

question 284

Multiple Choice

Solve the problem.
-A formula for the length of a diagonal from the upper corner of a box to the opposite lower corner is $\mathrm { d } = \sqrt { \mathrm { L } ^ { 2 } + \mathrm { W } ^ { 2 } + \mathrm { H } ^ { 2 } }$ , where $\mathrm { L } , \mathrm { W }$ , and H are the length, width, and height, respectively. Find the length of the diagonal of the box if the length is 23 inches, width is 15 inches, and height is 8 inches. Leave your answer in simplified radical form.

• A) \(\sqrt { 818 }\) in.
• B) \(2 \sqrt { 23 } \mathrm { in }\).
• C) \(\sqrt { 46 } \mathrm { in }\).
• D) \(2 \sqrt { 409 } \mathrm { in }\).

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