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9. A closed box is made of wood which is 1.8 cm thick. Its external dimensions are 84 cm x 64 cm x 50 cm. Find:(i) the capacity of the box.(i) the volume of the wood used in making the box.(iii) the weight of the empty box if 1 cm'of wood weighs 6.8g. |
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Answer» Step-by-step explanation:EXTERNAL length = 84 CM external BREADTH = 64 cm external HEIGHT = 50 cm thickness = 1.8 cm internal length = 84- 2(1.8) = 84- 3.6 = 80.4 cm internal breadth =64- 2(1.8) = 64-3.6 = 60.4 internal height= 50- 2(1.8) = 50 - 3.6 = 46.4 cm capacity of the box = length ×breadth× height = 80.4 × 60.4 ×46.4 = 225325.824 cm³ The volume of the wood used in making the box. = external volume - internal volume = (84×64×50) - 225325.824 = 268800 - 225325.824 = 43474.176 cm³ if 1cm cube of wood weighs= 6.8 gm then 43474.176 cm³of wood weighs = 43474.176 cm³× 6.8 = 295624.39 gm hence , capacity of the box =225325.824 cm³ The volume of the wood used in making the box. =43474.176 cm³ the weight of the EMPTY box = 295624.39 gm |
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