Step-by-step explanation:
Longest side of cuboid: 7cm
Height of cylinder:
2 × 7 = 14 cm
Volume of cuboid:
7x3x4=84[tex]cm^3[/tex]
Volume of cylinder:
[tex]84=14\pi r^2 \\r=\sqrt{\frac{6}{\pi} } \ \ \ cm\\r=1.38 \ cm\\[/tex]
Surface area of the cylinder:
[tex]\pi r^2 + 2 \pi r h[/tex]
[tex]6+2\pi (\sqrt{\frac{6}{\pi} } ) (14)[/tex]
=128 cm^2
