Question

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An Open wooden box 80cm long, 65cm wide and 45cm high, is made of 2.5cm thick wood. Find (I) The capacity of the box,
(II) volume of wood used and
(III) Weight of the box, it being given that 100cm³ of wood weight 8g.

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Answer 1

Hey..!!! :))

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external volume= 80×65×45=234000 cubic centimeter
 
internal length = 80- (2.5×2)=75
internal breadth= 65- (2.5×2)=60
internal height = 45-(2.5×2)=40
internal volume = 75×60×40= 180000 cubic centimeter
 
capacity = internal volume

volume of the wood = external volume - internal volume
                            = 234000 - 180000
                            = 54000
now, given, 100cm3 of wood= 8g
                = 54000×1/100
                = 540×8
                = 4320g
                =  4320kg Ans
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I Hope it's help you.. :))

Answer 2

Given :

L= 80 cm
l = 80-2(2.5) = 75cm
B= 65 cm
b=65-2(2.5)=60cm
H=45cm
h=42.5 cm

Capacity of box = internal volume = lbh = 75×60×42.5 = 191250 cm³...(i)

Volume of wood = External volume-Internal Volume = 80×65×45 - 191250 = 42750cm³..(ii)

100 cm³ of box weighs 8g

10 cm³ weighs 0.8 g

42750 cm³ weighs 0.8×4275 = 3420 g = 3.420 kg ...(iii)