Question

The surface area of a cuboid is 758cm². Its length and breadth are 14cm and 11cm respectively. Find its height.

Answer 1

It is given that

Surface area of cuboid = 758 cm²

The dimensions of cuboid are

Length = 14cm

Breadth = 11cm

Consider h as the height of cuboid

We know that

Surface area of cuboid = 2 (lb + bh + lh)

By substituting the values

758 = 2 (14 × 11 + 11 × h + 14 × h)

On further calculation

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

So we get

758 = 2 (154 + 25h)

By multiplication

758 = 308 + 50h

It can be written as

50h = 758 – 308

By subtraction

50h = 450

By division

h = 9cm

Therefore, the height of cuboid is 9cm.