A rectangular prism has a surface area of 448 cm2. It's length is 14 cm and it's width is 6 cm. Find the height.

Given:

Length, l = 14 cm

Breadth, b = 6 cm

Area of rectangular prism (cuboid) = 448 cm²

To find out:

Find the height, h?

Formula used:

Area of rectangular prism (cuboid) = 2 (lb + bh + hl)

Solution:

We know that that,

Area of rectangular prism (cuboid) = 2 (lb + bh + hl)

=> 448 = 2 (14 * 6 + 6 * h + h * 14)

=> 448 = 2 (84 + 6h + 14h)

=> 448 = 2 (84 + 20h)

=> 448 = 168 + 40h

=> 40h = 448 - 168

=> 40h = 280

=> h = 280/40

=> h = 7 cm