A regular pentagonal pyramid had a side length of 4 mm, an apothem that measures 3 mm, and a height of 4.1 mm. What is the volume of the pyramid?

A) 41 mm^3

B) 63 mm^3

C) 16.4 mm^3

D) 60 mm^3

The equation for solving the volume of a pyramid is equal to,

Volume = Bh/3

where B is the area of the base and h is height.

To compute for the area of the base, we use the equation,

A = aP/2

where a is apothem and P is perimeter. Substituting the known values,

A = (3 mm) (5 x 4 mm) / 2 = 30 mm²

Substituting the computed value to the equation for volume.

V = (30 mm²) (4.1 mm) / 3 = 41 mm³

Thus, the answer is letter A.