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

question 112

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 L, W, and H are the length, width, and height, respectively. Find the length of t where L, W, and H are the length, width, and height, respectively. Find the length of the diagonal of the box if the length is 22 inches, width is 15 inches, and height is 6 inches. Leave your answer in
Simplified radical form.

• A) \(\sqrt { 86 } \mathrm { ~in. }\)
• B) \(\sqrt { 43 } \text { in. }\)
• C) \(\sqrt { 745 } \text { in. }\)
• D) \(\sqrt { 1490 } \text { in. }\)

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Definitions:

Net Charge

The total electrical charge of an atom or molecule resulting from the gain or loss of electrons.

Gaseous State

One of the four fundamental states of matter, composed of particles that have neither a defined volume nor shape.

Shares Electrons

Refers to the covalent bonding between atoms, where electrons are shared between atoms to achieve a full outer shell and attain chemical stability.

Neutrons

Subatomic particles found within an atom's nucleus, possessing no electric charge and contributing to the atom's mass.