Answer:
The surface area of the cuboid is 42 sq.cm.
Step-by-step explanation:
The cuboid is made of 3 unit cubes like the one to its left
Surface area of cube =[tex]6a^2[/tex]
Where a is the side of cube
We are given that surface area of cube is 18 sq.cm.
So, [tex]6a^2 = 18 \\a^2 = \frac{18}{6}\\a=\sqrt{\frac{18}{6}}\\a=\sqrt{3}[/tex]
Now these 3 cubes are joined together to form cuboid
So, Length of cuboid =[tex]\sqrt{3}+\sqrt{3}+\sqrt{3}=3\sqrt{3}[/tex]
Breadth of cuboid = [tex]\sqrt{3}[/tex]
Height of cuboid =[tex]\sqrt{3}[/tex]
Surface area of cuboid =[tex]2(lb+bh+hl)=2\left(3\sqrt{3}\cdot\sqrt{3}+\sqrt{3}\cdot\sqrt{3}+3\sqrt{3}\cdot\sqrt{3}\right)=42 cm^2[/tex]
Hence the surface area of the cuboid is 42 sq.cm.
