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The surface area of the cuboid …

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The surface area of the cuboid 1372cm^2. If the dimensions are in the ratio 4:2:1, find its length

Posted by Pragadhis Pragadhis 8 years, 4 months ago

CBSE > Class 09 > Mathematics

1 answers

Rajeev Malhotra 8 years, 4 months ago

The surface area of cuboid = 2(l*b + b*h+l*h) and dimensions are 4x,2x and x

1372 = 2(4x*2x+ 2x*x+ 4x*x)

1372= 2(8x² + 2x² +4x²)

1372=2(14x²)

1372= 28 x²

x² = 1372/28= 49

x = 7 cm

So Length = 4 x = 4*7 = 28 cm

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