A  closed wooden box has outer dimensions as 10 cm x 8 cm x 7 cm.The thickness of wood is 1 cm.If 1 cm3 of wood costs Rs 2,find the total cost of the wood required to make the box.

Asked by rkjha_in | 9th Mar, 2015, 04:40: PM

Expert Answer:

Inner space dimensions space of space the space box equals 8 cm space cross times space 6 space cm space cross times space 5 space cm 1 space c m space h a s space t o space b e space s u b t r a c t e d space f r o m space e a c h space s i d e space o f space t h e space o u t e r space d i m e n s i o n space sin c e space t h e t h i c k n e s s space o f space t h e space w o o d space i s space space 1 c m space f r o m space a l l space s i d e s Volume space of space wooden space box space equals 10 space cross times space 8 space cross times space 7 minus 8 space cross times space 6 space cross times space 5 equals 560 minus 240 equals 320 space cm cubed If space 1 cm to the power of 3 space end exponent of space wood space costs space Rs space 2 Then space 320 space cm cubed space would space cost space equals space 320 space cross times space 2 space equals space Rs space 640

Answered by Prasenjit Paul | 10th Mar, 2015, 11:49: AM