The surface area of cuboid is 132cm. if its dimensions area in the ratio of 4: 2:1 . find its length?
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let lenght be:
4x,2x and x
then,
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
⇒49=x²
⇒√49=x
⇒7=x
or x=7
hence,length of cuboid is 4 x 7 =28cm
4x,2x and x
then,
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
⇒49=x²
⇒√49=x
⇒7=x
or x=7
hence,length of cuboid is 4 x 7 =28cm
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