Question

The total surface area of this cuboid is 112cm squared find the value of x

length 10

width 2

height ??

Answer 1

The height of cuboid is 3 cm

Explanation:

Total surface area of cuboid =
`2lb+2bh+2hl`

Length of cuboid = 10 cm

Width of cuboid = 2 cm

Let the height be x

Total surface area of cuboid =
`2(10)(2)+2(2)(x)+2(x)(10)`

Total surface area of this cuboid is 112 cm squared

`2(10)(2)+2(2)(x)+2(x)(10)=112`

`40+4x+20x=112`

`40+24x=112`

`24x=112-40`

`24x=72`

`x=(72)/(24)`

`x=3`

Hence the height of cuboid is 3 cm