Question

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

Answer 1

Answer:

The height of cuboid is 3 cm

Step-by-step 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

 $2(10)(2)+2(2)(x)+2(x)(10)=112$

$40+4x+20x=112$

$40+24x=112$

$24x=112-40$

$24x=72$

$x=\frac{72}{24}$

$x=3$

Hence the height of cuboid is 3 cm