Question

6. The surface area of a cuboid is 120 sq.
If the length and breadth of the cuboid
equal and the height is 2 m, find the lengthand breadth
​

Answer 1

Answer:

6

Step-by-step explanation:

2(lb+bh+lh)=120cm

2

lb+bh+hl=60cm

2

Here, Let the length & breadth be n.

\begin{lgathered}{n}^{2} + 2n + 2n = 60 \\ {n}^{2} + 4n = 60 \\ {n}^{2} + 4n - 60 = 0 \\ {n}^{2} + (10 - 6)n - 60 = 0 \\ {n}^{2} + 10n - 6n - 60 = 0 \\ n( n+ 10) - 6(n + 10) = 0 \\ (n + 10)(n - 6) = 0\end{lgathered}

n

2

+2n+2n=60

n

2

+4n=60

n

2

+4n−60=0

n

2

+(10−6)n−60=0

n

2

+10n−6n−60=0

n(n+10)−6(n+10)=0

(n+10)(n−6)=0

Hence, the value of n is 6.

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Therefore, length & breadth is 6 cm