Geometry word problem: See description

Question

Find the dimensions of a rectangular solid for which the sum of all the edges is 76, the total surface area is 206 square units, and the volume is 165 cubic units

 

Also, find the length of the longest fishing pole that could fit in this box. 

Answer 1

v=165=hlw

a= 206= 2(HW+hl+lw)

103= HW+hl+lw

e's = 76= 4h+4l+4w

h+l+w=76/4= 19

11,3, & 5 units

max fishing pole= diagonal>11 and </=15

= 15 units