Question

The external length, breadth and height of a closed wooden box are 30 cm, 18 cm and 20 cm respectively. If the walls of the box are 1.5 cm thick, find :
(i) capacity of the box,
(ii) volume of the wood used in making the box, and
(iii) weight of the box, if 1 cm3 of the wood weighs 0.80 g.

Answer 1

Step-by-step explanation:

Dimension of a closed rectangular wooden box are 18cm,10cm and 6cm, respectively.

The thickness of wood is 21cm

∴ Volume of rectangular wooden block =18×10×6=1080cm3

And, volume of hollow space in rectangular wooden block =17×9×5=765cm3

∴ Volume of rectangular wood =(1080−765)cm3=365cm3

Now, weight of empty box =15kg

∴ Weight of a cubic cm of wood =36515 =211kg

Weight of box filled with sand =100kg

Weight of sand =(100−15)kg=85kg

∴ Weight of a cubic cm of sand =76585kg=91kg