the lenght breadth and hight of a solid in tne ratio is 3:2:1 if the volume is 48 find the total surface area of solid
NishadAnjali:
answer is 2 cm
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let length breadth and height of a solid is 3x 2x 1x
then 3x+2x+1x= 48
6x= 48
x = 8
3x=8×3=24
2x= 8×2=16
1x= 8×1=8
surface area 2(lb +bh +lh)
2(24×16+16×8+ 8×24)
2(416+128+192)
2×736
1442cm ..
pleas mark as brainleast..
then 3x+2x+1x= 48
6x= 48
x = 8
3x=8×3=24
2x= 8×2=16
1x= 8×1=8
surface area 2(lb +bh +lh)
2(24×16+16×8+ 8×24)
2(416+128+192)
2×736
1442cm ..
pleas mark as brainleast..
Answered by
1
Answer:
88 unit²
Step-by-step explanation :
l = 3x ; b = 2x ; h = 1x
volume = lbh = 3x × 2x × 1 x = 48
6x³ = 48 ; x³ = 8; x = ∛8 = 2 ;
therefore, x = 2
l = 2 × 3 = 6 unit
b = 2 × 2 = 4 unit
h = 2 × 1 = 2 unit
TSA = 2(lb + lh + bh)
2 ( 24 + 8 + 12)
2 ( 44) = 88 unit²
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