the volume of a cuboid is 1296 meter cube its length is 24m and its breadth and height are in ratio 3:2 find breadth and height?
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Answer:
Step-by-step explanation:
let breadth = 3x and height = 2x
volume = l*b*h
1296 =24*3x*2x
1296=144x²
x² =9
x = 3
breadth = 3x = 9
height = 2x = 6
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- 3x*2x*24m = 1296m³
- 6x²*24m = 1296m³
- 6x² = 1296m³/24m
- 6x² = 54m²
- x² = 54m²/6
- x² = 9m²
- x = 3m
hence, breadth = 3x = 3*3m = 9m
and, height = 2x = 2*3m = 6m
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