Question

the external dimensions of a closed wooden box are 27 cm,19cm,and 11 cm .if the thickness of wood in the box is 1.5cm find

i.volume of wood in the box

ii.the cost of box if wood costs rs 1.20 per cubic cm.

Answer 1

External length of wooden box = 27 cm
External width of closed wooden box = 19 cm
External height of closed wooden box = 11 cm
So, external volume of wooden box = $27\times 19\times 11=5643{\mathrm{cm}}^3$
Now, thickness of wooden box = 1.5 cm
So, internal length of wooden box = 27 - 1.5 = 25.5 cm
Internal width of closed wooden box = 19 - 1.5 = 17.5 cm
Internal height of closed wooden box = 11 - 1.5 = 9.5 cm
So, internal volume of box = $25.5\times 17.5\times 9.5=4239.375{\mathrm{cm}}^3$
1) So, volume of wood in the box = external volume of wooden box - internal volume of box = $5643-4239.375=1403.625{\mathrm{cm}}^3$
2) total cost of box = $1403.625\times 1.20$ = Rs.1684.35