Question

The length of longest pole that can be put in a room of dimensions 10 m × 6 m × 8 m is ______.

Options

• `10sqrt(2)` m

• 20 m

• `20sqrt(2)` m

• 10 m

Answer 1

The length of longest pole that can be put in a room of dimensions 10 m × 6 m × 8 m is `underlinebb(10sqrt(2) m)`.

Explanation:

The longest straight pole that fits is the space (body) diagonal of the rectangular room.

Its length = `sqrt(10^2 + 6^2 + 8^2)`

= `sqrt(100 + 36 + 64)`

= `sqrt(200)`

= `10sqrt(2)` m