Given parameters:
Length of the gift box = 8 inches
Width of the box = 3 inches
Height of the box = 4 inches
Unknown :
Length of its longest diagonal = ?
Solution:
This is a rectangular box.
To find the diagonal of such box, let us use the formula below;
Diagonal = [tex]\sqrt{l^{2} + w^{2} + h^{2} }[/tex]
l is the length
w is the width
h is the height
Input the parameters and solve;
Diagonal = [tex]\sqrt{8^{2} + 3^{2} + 4^{2} }[/tex] = 9.4inches
The diagonal of the box is 9.4inches