Question

The box below is 15 centimeters long, 4 centimeters wide, and 3 centimeters tall. What is the length of the diagonal s of the bottom side to the nearest tenth if necessary?

Answer 1

The diagonal of the bottom side is 17.5 cm.

Explanation:

The diagonal of a rectangle is a straight line that joins any two of its edges.

Given that: length = 15 cm, width = 4 cm, and h = 3 cm.

The bottom side is the flat rectangular surface (base) of length 15 cm and width 4 cm which excludes the height.

So that the diagonal, s, can be determined by Pythagoras theorem.

`s^(2)` =
`17^(2)` +
`4^(2)`

= 289 + 16

= 305

s =
`√(305)`

= 17.46425

The diagonal of the bottom side is 17.5 cm.