Answer:
V = x³ + 10x² cm³
Step-by-step explanation:
The volume (V) of the triangular prism is calculated using the formula
V = area of triangular face × length
Area of triangular face = [tex]\frac{1}{2}[/tex] bh ( b is base and h is height )
here b = 2x and h = x, thus
A = [tex]\frac{1}{2}[/tex] × 2x × x = [tex]\frac{1}{2}[/tex] × 2x² = x²
length = x + 10, hence
V = x²(x + 10) = x³ + 10x²
