Question

The length of a side of a cubical room is 15 m. What is the
length of the longest rod that can be put in the room?​

Answer 1

Answer:

Longest side of cube=Diagonal of cube= √3a=√3*15=15√3m

Answer 2

Given :-

• Length of a cubical room = 15 m

To find :-

• Length of the longest rod

Solution :-

Length of the longest rod = Diagonal of cube

Formula to find diagonal of cube -

Diagonal of cube = $\sqrt{3}$a

Where,

a = length of the side.

Put the given value -

$\sf\sqrt{3}$ × 15

$\mapsto$ 5$\sf\sqrt{3}$ m

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Know more :-

• Cuboid -

• Total surface Area = 2 (Length x Breadth + breadth x height + Length x height)

• Volume = (length × breadth × height)

• Perimeter = 4 (length + breadth + height)

Cube -

• Total surface area = 6 × $\sf{(side)^2}$

• Volume = $\sf{(side)^3}$

• Perimeter = 12 × side