the volume of a triangular prism is 226.08 cubic inches. if the area of the base is 28.26 square inches, what is the height of the triangular prism?
To find the height of the triangular prism, we can use the formula for the volume of a triangular prism:
Volume = (Area of Base) × Height
Given that the volume of the triangular prism is 226.08 cubic inches and the area of the base is 28.26 square inches, we can substitute these values into the formula:
226.08 = 28.26 × Height
To isolate the height, we can divide both sides of the equation by 28.26:
Height = 226.08 / 28.26
Calculating this gives us:
Height ≈ 8 inches
Therefore, the height of the triangular prism is approximately 8 inches.