Question

Find the lateral surface area of the given prism if its base is a regular pentagon.
Note: Regular pentagon is a five-sided polygon with all the equal sides.

• A. $1250$ $c{m}^2$
• B. $2050$ $c{m}^2$
• C. $3125$ $c{m}^2$
• D. $1205$ $c{m}^2$

Answer 1

The correct option is A $1250$ $c{m}^2$

Since the prism has $5$ lateral rectangular faces::
Required lateral surface area $=5\times$ Area of one rectangular face $=5\times (25\times 10)$
$=1250$ $c{m}^2$

Lateral surface area of the given pentagonal prism is $1250$ $c{m}^2$.