Question

A cuboid has total surface area of 280m2 breadth 5cm and heinght 6cm.Find its length​

Answer 1

10 cm is the right answer

Answer 2

Explanation:

Solution,

In the given cuboid, area of total surface (A)=280 cm²

Breadth ( b ) = 5 cm

Height ( h ) = 6 cm

Total surface area of cuboid = 2 ( lb + bh + lh )

or , Area = 2 ( lb + bh + lh )

or , 280 = 2 ( l × 5 + 5 × 6 + l × 6 )

or , 280 = 2 ( 11 l + 30 )

or , 2 ( 11 l + 30 ) = 280

or , 11 l + 30 = 280 ÷ 2

or , 11 l + 30 = 140

or , 11 l = 140 - 30

or , 11 l = 110

or , l = 110 ÷ 11

l = 10

Thus, the length is 10 cm...