Question

The surface area of a cuboid is 758cm2 it's length and breadth are 14 cm and 11 cm find its height

Answer 1

Given Surface area of Cuboid = 758 sq. cm

Given Length of Cuboid = 14 cm

Given Breadth of Cuboid = 11 cm

To Find - Height of the Cuboid.

Let height of the cuboid be 'h'

As we know that,

Total Surface Area of Cuboid = 2(lb + bh +hl)

where, l stands for length, b stands for breadth and h stands for height of the cuboid.

Therefore, we can say that --

2(lb + bh + hl) = 758

2([14 × 11]+ [11 × h] + [h × 14]) = 758

2(154 + 11h + 14h) = 758

2(154 + 25h) = 758

154 + 25h = 758 ÷ 2

154 + 25h = 379

25h = 379 - 154

25h = 225

h = 225 ÷ 25

h = 9 cm

Therefore, Height of the Cuboid is 9 cm.