Question

For a cylinder of radius r and height h and a cuboid of length l, breadth b and height h, match the following.

• A. $2(lb+bh+lh)$
• B. $2h(b+l)$
• C. $2\pi r^2+2\pi rh$
• D. $2\pi rh$

Answer 1

LSA of cuboid = Perimeter of the base $\times$ Height
$=2(b+l)\times h=2h(b+l)$

TSA of cuboid = LSA of cuboid + Base area + Top area
$=2h(b+l)+lb+lb=2h(b+l)+2lb=2(lb+bh+lh)$

TSA of cylinder = LSA of cylinder + Base area + Top area
$=2\pi rh+\pi r^2+\pi r^2=2\pi r^2+2\pi rh$

LSA of cylinder = Perimeter of the base $\times$ Height
$=2\pi r\times h=2\pi rh$