The areas of 3 adjecent faces of a cuboidal box are 120 sq.cm,72sq.cm&60sq.cm respectively the length,breath,height of box is?

Asked by Siddhaling | 22nd Dec, 2017, 09:47: PM

Expert Answer:

begin mathsize 16px style Given comma
lb equals 120 space sq. space cm
bh equals 72 space sq. space cm
hl equals 60 space sq. space cm
Now comma
lb cross times bh cross times hl equals 120 cross times 72 cross times 60
rightwards double arrow open parentheses straight l cross times straight b cross times straight h close parentheses squared equals 120 cross times 72 cross times 60
rightwards double arrow straight l cross times straight b cross times straight h equals square root of 120 cross times 72 cross times 60 end root
rightwards double arrow straight l cross times straight b cross times straight h equals square root of 12 cross times 10 cross times 12 cross times 6 cross times 10 cross times 6 end root
rightwards double arrow straight l cross times straight b cross times straight h equals 12 cross times 10 cross times 6
rightwards double arrow straight l equals 12 space cm comma space straight b equals 10 space cm space and space straight h equals 6 space cm end style

Answered by Rashmi Khot | 22nd Dec, 2017, 11:02: PM