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

Answer 1

Answer:

The longest segment is approximately 19.13cm

Step-by-step 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

$d = 19.13cm$