A cuboidal block of metal measuring 45 cm x 30 cm x 0.5 m was melted and recast into cubical blocks
each with an edge of length 3 cm.
(1) Find the number of cubes that can be made.
(II) What is the cost of polishing the surfaces of the cubes at the rate of 1.25 per cm?
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volume of the cuboidal block = 45 * 30 * 50
volume of cuboid = 67500 cm cube
now, volume of cubes = 3*3*3
volume of cube = 27 cm cube
so, numer of cubes that can be made = 67500/27
= 2500 cubes
area of one face of a cube = 3*3
area of one face of a cube = 9 cm sq.
now, as there are 6 faces in a cube,
total surface area = 9*6 = 54 cm sq.
now, there are 2500 cubes
so total area to be polished = 2500*54
total area to be polished = 135000 cm sq.
cost of polishing 1 cm sq. = 1.25
so, total cost = 135000*1.25
= 168750 rupees
hope it helps
have a nice eday
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