A box with lid is made of 2 cm thick wood. Its external length, breadth and height are 25 cm, 18 cm and 15 cm respectively. How much cubic cm of a liquid can be placed in it? Also, find the volume of the wood used in it.
Outer length of the closed wooden box (l) = 25 cm
Breadth (b) = 18 cm
and height (h) = 15 cm
Width of wood = 2 cm
∴ Inner length = 25−2×2=25−4=21 cm
Breadth = 18−2×2=18−4=14 cm
and height = 15−2×2=15−4=11 cm
Now outer volume = 25×18×15 cm3=6750 cm3
and inner volume = 21×14×11 cm3=3234 cm3
(i) Volume of liquid that can be placed = Inner volume = 3234 cm3
(ii) Volume of wood = 6750−3234=3516 cm3