Answer:
36 cm
Step-by-step explanation:
volume of a triangular prism = area of triangle x height of prism
area of triangle = 1/2 x base x height
Therefore, given the perpendicular sides of the triangle are 6 cm and 8 cm, the area of the triangle is:
⇒ area of triangle = 1/2 x 6 x 8 = 24 cm²
If the volume of the prism is 864 cm³:
⇒ 864 = 24 x height of prism
⇒ height = 864 ÷ 24 = 36 cm
