Question

What is the longest line segment that can be drawn in a right rectangular prism that is 13 cm long,

9 cm wide, and 8 cm tall?
The longest line segment is cm

Answer 1

15.81 cm

Explanation:

The diagonal line that links the 13 cm and 9 cm sides will be longest.

Use the Pyth Theorem to find it:

13^2 + 9^2 = c^2

169 + 81 = c^2

250 = c^2

15.81 = c

Answer 2

Explanation:

The line segment (or chord) AB (in the figure), which passes through the foci (F1, F2) and terminates on the ellipse, is called the major axis. This axis is the longest segment that can be obtained by joining two points on the ellipse. The two points at which the major axis intersects the curve are called the vertices.