Question

The walls of a square storage room in a warehouse are 300 feet long. What is the distance from one corner to the other corner of the storage room? Round your answer to the nearest foot.

Answer 1

Distance from a corner to the other corner of the storage room is 424 foot

Explanation:

Given: Storage room is a cube.

Length of Edge = 300 feet

To find: Length of Diagonal of the wall.

Storage room is A Cube.

⇒ Walls are of Squares shape.

Angle at vertex of Square is 90°

⇒ Traingle made by diagonal and 2 side at time is right angled triangle.

By, Pythagoras theorem

Diagonal² = Side² + Side²

Diagonal² = 2 × Side²

Diagonal =
`√(2* Side^2)`

Diagonal =
`√(2)* Side`

So, using this formula, we get

Diagonal =
`√(2)*300\:\:feet` ≈ 424 foot

Therefore, Distance from a corner to the other corner of the storage room is 424 foot