Question

What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long 11 cm wide and 7 cm tall

The longest segment is —
pleaseeee

Answer 1

The longest segment is approximately 19.13cm

Explanation:

Given

`l = 14cm`

`w = 11cm`

`h = 7cm`

Required

The length of the longest segment (d)

This is calculated using:

`d = \sqrt{l^2 +w^2 + h^2`

So, we have:

`d = \sqrt{14^2 +11^2 +7^2`

Using a calculator, the equation becomes

`d = \sqrt{366`

Take square roots

`d = 19.13cm`