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ICSE Class 9 Answered

Q.how many cubic cm of wood are there in a box,which measures 24cm by 22cm by 17cm,thickness of the wood is 1cm.
Please provide detailed explaination.
Asked by saif | 26 Jan, 2017, 12:27: AM
answered-by-expert Expert Answer
begin mathsize 16px style A s s u m i n g space t h a t space o u t e r space d i m e n s i o n s space o f space a space w o o d e n space b o x space a r e space 24 space c m space b y space 22 space c m space b y space 17 space c m comma space w e space h a v e
L e n g t h space equals space 24 space c m comma space B r e a d t h equals 22 space c m comma space H e i g h t equals 17 space c m
E x t e r n a l space v o l u m e space o f space a space b o x equals L cross times B cross times H equals 24 cross times 22 cross times 17 equals 8976 space c m cubed
T h i c k n e s s space o f space t h e space w o o d equals 1 space c m
rightwards double arrow I n t e r n a l space l e n g t h space o f space a space b o x equals 24 minus 2 cross times T h i c k n e s s equals 24 minus 2 cross times 1 equals 24 minus 2 equals 22 space c m
I n t e r n a l space B r e a d t h space o f space a space b o x equals 22 minus 2 equals 20 space c m
I n t e r n a l space H e i g h t space o f space a space b o x equals 17 minus 2 equals 15 space c m
rightwards double arrow I n t e r n a l space v o l u m e space o f space a space b o x equals 22 cross times 20 cross times 15 equals 6600 space c m cubed
T h u s comma space v o l u m e space o f space w o o d equals E x t e r n a l space V o l u m e minus I n t e r n a l space V o l u m e
equals 8976 minus 6600
equals 2376 space c m cubed end style
Answered by Rashmi Khot | 27 Jan, 2017, 10:28: AM
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