Question

6. A closed wooden box 80 cm long, 65 cm wide and 45 cm high, is made up of wood 2.5 cm thick.
Find (i) the capacity of the box (ii) the weight of the box, if 100 cm of wood weighs 8 grams.​

Answer 1

Step-by-step explanation:

outer length of box = 80 cm

outer width of box = 65 cm

outer height of the box = 45 cm

Since thickness of wood is 2.5cm

inner length of box = 80 -2 x 2.5 = 75 cm

inner width of box = 65 - 5 = 60 cm

inner height of box = 45 - 5 = 40 cm

Capacity of the box = 75x60x40 = 180,000 cm^3

Volume of wooden part = 80 x 65 x 45 - 75 x 60 x 40 = 54,000 cm^3

Weight of 100 cm^3 of wood = 8g

weight of 54,000 cm^3 of wood will be 8/100 x 54,000 = 4320g