Chapter 9, Problem 13RP

To determine

To find:The body diagonal of the given rectangular solid

Answer to Problem 13RP

The body diagonal is $d=13$

Explanation of Solution

Given information:The sides of the rectangle are given as

  $4$ , $3$ and $12$

Formula Used:The diagonal of the solid body is given as follows:

  $d=\sqrt{a^2+b^2+c^2}$

Where

“ a, b and c ” is the side of the solid body..

Calculation:We know that a body diagonal for any rectangular solid can be found as

  $d=\sqrt{a^2+b^2+c^2}$

Where, a, b and c are the sides of the solid. Hence, we substitute the values in the above formula, and we get

  $d=\sqrt{4^2+3^2+{12}^2}=\sqrt{169}=13$