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if the length, breadth and height of a cuboid are in ratio 5:4:3 and its total surface area is 376 sq.m
Find dimensions of cuboid
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Answer:
length= 5(2)= 10 m
breadth= 4(2) = 8 m
height = 3(2) = 6 m
Step-by-step explanation:
For the given cuboid suppose,
length= 5x
breadth= 4x
height = 3x
Total surface area of cuboid = 2(lb+bh+hl)
376 = 2 [(5x*4x) + (4x*3x) + (3x*5x)]
376= 2 (20x2 + 12x2 + 15x2)
376/2 = (47x2)
188 = 47x2
x2 = 188/47
x2 = 4
x = 2
So, dimensions of cuboid will be
length= 5(2)= 10 m
breadth= 4(2) = 8 m
height = 3(2) = 6 m
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