Answer:

63√3/2 cm³

Step-by-step explanation:

volume of prism = area of equilateral triangle * height of prism

we know that, area of equilateral triangle = (√3/4)a²

so, area of equilateral triangle = (√3/4) * 3 * 3

= 9√3/4 cm²

volume of prism = 9√3/4 * height of prism

= 9√3/4 * 14

= 63√3/2 cm³