Question

How many cubic cms of metal are there in an open metallic box whose dimensions are 36 cm , 25 cm, and 16 cm , the metal being 2 cm thick throughout ?If 1 cubic cm of metal weighs 15 g , find the weight of the metallic box.

Answer 1

External :-
l = 36 cm
b = 25 cm
h = 16 cm
thickness = 2cm
Internal :-
l = 36 - 4 = 32 cm
b = 25 - 4 = 21 cm
h = 16 - 2 ( as box is open ) = 14 cm
external volume = lbh = 36 * 25 * 16 = 14400 cm3
Internal volume = 32 * 21 * 14 = 9408 cm3
volume of metal = ext. v - int. v.
= 14400 - 9408 = 4992 cm3
weight = 4992 * 15 = 74880g = 74.88 kg
Hope this helps!

Answer 2

find volume of metal frm outer dimentions= 36x25x16=14400
find volume of inner dimention= 34x23x14=10948
subract inner volume frm outer volume=3452
divide the solution frm 15. ull get ur answer =230.133