Question

A rectangular box is 8 inches long, 10 inches wide and 6 inches tall. What is the approximate length of its longest diagonal? 10 inches 14.1 inches 4.9 inches 24 inches​

Answer 1

d = 10 inches

Explanation:

It is given that,

The length, breadth and the height of a rectangular box is 8 inches×10 inches ×6 inches

We need to find the length of its longest diagonal.

In a rectangle, 6 inches will act as perpendicular and 8 inches will be base. The diagonal can be calculated using Pythagoras theorem as follows :

`d=√(8^2+6^2) \\\\=√(64+36)\\\\=10\ \text{inches}`

So, the length of its diagonal is 10 inches.