The dimension of a room is in ratio 3:2:1 and the total surface area is 352 m square . Find the dimension of the room
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- Length-12m
- Breath-8m
- Height-4m
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Let the dimensions (length , breadth and height ) of the cuboid be 3x , 2x and 1x respectively .
Total surface area of Cuboid = 2 (lb+bh+hl)
352 m² = 2(3x×2x+2x×1x+1x×3x)
352m² = 2(6x²+2x²+3x²)
352m²= 2(11x²)
11x² = 352/2
x² = 176/11
x = √16
=> x = 4cm
NOW , LENGTH = 3x = 3×4 = 12cm
BREADTH = 2x = 2×4 = 8cm
AND HEIGHT = 1x = 1 × 4 = 4cm
HOPE IT HELPS U...
Total surface area of Cuboid = 2 (lb+bh+hl)
352 m² = 2(3x×2x+2x×1x+1x×3x)
352m² = 2(6x²+2x²+3x²)
352m²= 2(11x²)
11x² = 352/2
x² = 176/11
x = √16
=> x = 4cm
NOW , LENGTH = 3x = 3×4 = 12cm
BREADTH = 2x = 2×4 = 8cm
AND HEIGHT = 1x = 1 × 4 = 4cm
HOPE IT HELPS U...
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