Question

A rectangular prism is shown below with edges of 1, 6, and 4 units. If a diagonal runs from point A to point B, how many units long is diagonal AB ?

Answer 1

Diagonal AB is 7.28 units.

Explanation:

Given A rectangular prism with edges of 1, 6, and 4 units. If a diagonal runs from point A to point B. we have to find the length of diagonal AB.

A diagonal of rectangular prism is a line segment that links two vertices, that vertices are not adjacent (not next to each other). It is the measure of the distance from one vertices to another non-adjacent vertices.

`Using\thinspace formula\\\\(Diagonal\thinspace Length)^2=Length^2 +Width^2 +Height^2\\AB^2=1^2 +6^2 + 4^2 \\ AB^2=1 +36 + 16\\AB^2=53\\AB=\sqrt53 \\Length of AB=7.28units`

Hence, diagonal AB is 7.28 units.