Answer: [tex]180\ cm^2[/tex]
Step-by-step explanation:
Given
Height of a cuboid [tex]h=45\ mm[/tex]
Volume of the cuboid is [tex]V=162\ cm^3[/tex]
End faces are square. So, assume its length to be x
[tex]\therefore x^2\times h=162\\\Rightarrow x^2\times 4.5=162\\\Rightarrow x^2=36\\\Rightarrow x=6\ cm[/tex]
Surface area of cuboid
[tex]\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[/tex]
