The volume of the triangular prism is 229.5cm^3 , which matches option A.
The formula to calculate the volume of a triangular prism is:
Volume=Area of the base×Height of the prism
For a triangular base, the area formula is:
Area of a triangle= 1/ 2 ×Base×Height
Given:
Base of the triangle = 9 cm
Height of the triangle = 8.5 cm
Height of the prism = 6 cm
First, let's find the area of the triangular base:
Area of triangle= 1/2 ×Base×Height
= 1/ 2 ×9cm×8.5cm
= 1/2 ×76.5cm^2 =38.25cm^2
Now, we'll find the volume of the prism using the formula:
Volume=Area of the base×Height of the prism
=38.25cm^2 ×6cm
=229.5cm^3
Therefore, the volume of the triangular prism is 229.5cm^3 , which matches option A.