Question

The height of a cuboid is45mm ,the end face is a square.The volumeof the cuboid is 162cm^3.Calculate the surface area

Answer 1

Answer:
`180\ cm^2`

Explanation:

Given

Height of a cuboid
`h=45\ mm`

Volume of the cuboid is
`V=162\ cm^3`

End faces are square. So, assume its length to be x

`\therefore x^2* h=162\\\Rightarrow x^2* 4.5=162\\\Rightarrow x^2=36\\\Rightarrow x=6\ cm`

Surface area of cuboid

`\Rightarrow 2(lb+bh+hl)=2(6* 6+6* 4.5+4.5* 6)\\\Rightarrow 2(36+27+27)\\\Rightarrow 180\ cm^2`