Question

The area of the regular pentagonal base of this prism is 43.06 square units. What is the volume of this prism?

Answer 1

The Volume of this prism is 148.35 cu.units, Option D is the right answer.

What is Volume ?

The space occupied by a three dimensional object is called Volume.

Area of the base of the prism is the area of the pentagon

Area of the pentagon is given by

$\rm A = \dfrac{1}{4} \sqrt{5(5+2\sqrt{5})} a^2$

The area is given as 43.06 sq. units

On solving the side of pentagon is 5 units

The volume of the pentagonal prism is given by

V = (5/2)abh

where a is the length of apothem , b is the base length and h is the height

V = (5/2) * 3.44 * 5* 3.45

V = 148.35 cu.units

Therefore the Volume of this prism is 148.35 cu.units , Option D is the right answer.

To know more about Volume

brainly.com/question/1578538

#SPJ1