SOLUTION: My Question A trough, in the form of an open rectangular box, is 1.85 m long, 45 cm wide and 28 cm deep externally. If the trough is made of wood 2.5 cm thick, find, in cubic c

Question 44741: My Question
A trough, in the form of an open rectangular box, is 1.85 m long, 45 cm wide and 28 cm deep externally. If the trough is made of wood 2.5 cm thick, find, in cubic centimetres, the volume of wood used.
Thank you in anticipation.
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
A trough, in the form of an open rectangular box, is 1.85 m long, 45 cm wide and 28 cm deep externally. If the trough is made of wood 2.5 cm thick, find, in cubic centimetres, the volume of wood used.
EXTERNAL DIMENSIONS
L=1.85 M =185 CM.
B=45 CM
H=28 CM
OPEN AT TOP.
EXTERNAL VOLUME OF BOX =LBH=185*45*28=233100 CC
INTERNAL DIMENSIONS
WOOD THICKNESS=2.5 CM
L'=185-2*2.5=180 CM
B'=45-2*2.5=40 CM
H'=28-1*2.5=25.5 CM...SINCE THE BOX IS OPEN AT TOP
INTERNAL VOLUME OF BOX =L'*B'*H'=180*40*25.5=183600 CC
HENCE VOLUME OF WOOD =233100-183600=49500 CC
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