Question

The total surface of the cuboid is 112cm2 find the value of x bottom length 10cm side bottom length 2cm, id prefer just an answer as im about to get an hour detention, thank you

Answer 1

The value of x is 3 cm.

Explanation:

Given,

Total surface area of cuboid = 112 cm^2

Height of cuboid = 10 cm

Breadth of cuboid = 2 cm

Length of cuboid = x cm

Solution,

Formula for total surface of cuboid =
`2*(length* breadth +breadth* height+height* length)`

∴
`112=2(x*2+2*10+10* x)\\112=2(2x+20+10x)\\112=2(12x+20)\\12x+20=(112)/(2)\\12x+20=56\\12x=56-20\\12x=36\\x=(36)/(12)=3`

Thus the length of cuboid is 3 cm.