Question

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.

Answer 1

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