16.1 ka kaisa bhi sawaal bata dijiye me class 10 me pedti hu RBSE bord se plz explain ✍️✍️
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Let for the cuboid,
length = 5x
breadth = 3x
and height = 2x
Total surface area of cuboid = 558 cm2
⇒ 2(lb + bh + hl) = 558
⇒ (5x × 3x) + (3x × 2x) + (2x × 5x) = \frac { 558 }{ 2 }
⇒ 15x2 + 6x2 + 10x2 = 279
31x2 = 279
x2 = \frac { 279 }{ 31 }
x2 = 9
x = √9
= 3 cm
∴ The length of the cuboid 5 × 3 = 15 cm
breadth = 3 × 3 = 9 cm
height = 2 × 3 = 6 cm
Hence, the length = 15 cm, breadth = 9 cm and height = 6 cm.
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