Question

Answer with explanation


A box has a base measuring 3 feet by 4 feet. Find the length of the largest rod that can be placed at the bottom of the box.
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Answer 1

Answer:

5 feet

Step-by-step explanation:

The largest rod that can be placed would be aligned to the diagonal of the base.

So we apply pythagoras theorem,

${p}^{2} + {b }^{2} = {hypo}^{2}$

So it will be

${3}^{2} + {4}^{2} = {x}^{2}$

where x=the length of rod now we solve and get the answer

$09 + 16 = {x}^{2}$

$25 = {x}^{2}$

$x = \sqrt{25}$

which is equal to 5 feet (Ans)

Answer 2

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