the surface area of the cuboid is 1372 square centimetre if its dimensions are in the ratio of 4 ratio 2 ratio 1 then find its length
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Given the surface area of cuboid as 1372cm2 , length are in the ratio of 4:2:1
Let the lenght, breadth and height of cuboid are 4x ,2x and x respectively.
surface area of cuboid = 2(lb+bh+lh)
where l= length of cube , b = breadth , h = height of cube
surface area of cuboid = 2(lb+bh+lh)
1372= 2(4x*2x+2x*x+4x*x)
1372= 2(8x2+2x2+4x2)
1372= 2*14x2
1372= 28X2
1372/28 = X2
X2 = 49 // TAKING SQUARE ROOT //
√X2 =√49
X = 7
length of cuboid is 4x 7 =28cm
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Let the lenght, breadth and height of cuboid are 4x ,2x and x respectively.
surface area of cuboid = 2(lb+bh+lh)
where l= length of cube , b = breadth , h = height of cube
surface area of cuboid = 2(lb+bh+lh)
1372= 2(4x*2x+2x*x+4x*x)
1372= 2(8x2+2x2+4x2)
1372= 2*14x2
1372= 28X2
1372/28 = X2
X2 = 49 // TAKING SQUARE ROOT //
√X2 =√49
X = 7
length of cuboid is 4x 7 =28cm
Please Mark this answer as brainiest answer please
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Surface area = 2 [lb+bh+hl]
1372 = 2 [(4x)(2x)+ (2x)(x) + (4x)(x)]
1372 = 2 × 14x^2
1372 = 28x^2
x^2=49
x = 7
So length = 4x = 28 cm
breadth= 2x =14cm
height= x = 7 cm
1372 = 2 [(4x)(2x)+ (2x)(x) + (4x)(x)]
1372 = 2 × 14x^2
1372 = 28x^2
x^2=49
x = 7
So length = 4x = 28 cm
breadth= 2x =14cm
height= x = 7 cm
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