The volume of the prism given with a base of equilateral triangle is 389.71 cm³.
What is the volume of a prism?
The volume of a prism is the product of the base area and the height of the prism.
The base of the prism is an equilateral triangle that has a perimeter of 18 cm.
Therefore, each side of the prism is
= (perimeter/3)
= (18/3) cm
= 6 cm
Now, the base area of the triangle is
= (√3/4) × (side)²
= (√3/4) × (6)² cm²
= 9√3 cm²
Now, the volume of the prism is
= base area × height
= 9√3 × 25 cm³
= 225√3 cm³
= 389.71 cm³
Learn more about the volume of a prism here: https://brainly.com/question/12556249
#SPJ3
