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Question
The internal length, breadth, and height of a closed box are 1 m, 80 cm, and 25 cm. respectively. If its sides are made of 2.5 cm thick wood; find :
(i) the capacity of the box
(ii) the volume of wood used to make the box.
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Solution
Internal length of the closed box = 1m = 100 cm
breadth = 80 cm
height = 25 cm
volume = `100 xx 80 xx 25`
= 200000 cm3
External length of the box = `(100 + 2 xx 2.5)`
= 100 + 5 = 105 cm
External breadth = `(80 + 2 xx 2.5)`
= 80 + 5 = 85 cm
External height = `(25 + 2 xx 2.5)`
= (25 + 5) = 30 cm
External volume = `105 xx 85 xx 30` cm3
= 267750 cm3
(i) The capacity of the box = `100 xx 80 xx 25` cm3
= 200000 cm3
= `200000/(100 xx 100 xx 100)` m3
= 0.2 m3
(ii) The volume of wood used to make the box
= External volume - Internal volume
= 267750 - 200000
= 67750 cm3
= `67750/(100 xx 100 xx 100)`m3
= 0.06775 m3
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