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: $180\ cm^2$

Step-by-step 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

$\therefore x^2\times h=162\\\Rightarrow x^2\times 4.5=162\\\Rightarrow x^2=36\\\Rightarrow x=6\ cm$

Surface area of cuboid

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