Answer:
Height of the triangular face of the box is 12 cm.
Step-by-step explanation:
This question is not complete; please find the question as the attachment.
Volume of a triangular prism = Area of the triangular base × height
It's given in the question, Volume of the prism = 3240 cm³
Height of the prism = 30 cm
By substituting these values in the formula,
3240 = B × 30
B = [tex]\frac{3240}{30}[/tex]
B = 108 cm²
Area of the triangular face (B) = [tex]\frac{1}{2}(\text{Base})\times (\text{Height of the triangular base})[/tex]
108 = [tex]\frac{1}{2}\times (18)\times h[/tex]
108 = 9h
h = 12 cm
Therefore, height of the triangular face of the prism is 12 cm.
