Answer:
x³/2 + x² cubic units
Explanation:
Find the diagram attached
Volume of a triangular based prism = Base area × height
Base area = Area of the isosceles triangle = 1/2bh
b is the base of the triangle = x
h is the height = x
Base Area = 1/2×x×x
= 1/2x²
= x²/2
Given height of the prism perpendicular to the base = (x+2)
Volume of the prism = x²/2 × (x+2)
Volume of the prism = 1/2(x³+2x²)
Volume of the prism = x³/2 + x² cubic units