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

Question

asked Dec 27, 2022 73.2k views

1 Answer

Maddoxej · Answer 1 · 2023-01-01T20:45:05+0000

Answer:

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