A paperweight in the shape of a triangular prism has a height of 3 inches. its volume is 18 cubic inches. what is the area of the triangular base of the prism?
volume = base * height
18 = base*3
base = 6
To find the area of the triangular base of the prism, we first need to find the dimensions of the base.
The volume of a triangular prism is calculated using the formula:
Volume = (1/2) * base * height * length
Given that the volume of the prism is 18 cubic inches and the height is 3 inches, we can rearrange the formula to find the base:
18 = (1/2) * base * 3 * length
Divide both sides of the equation by (1/2) * 3 * length:
base = (18 / ((1/2) * 3 * length))
Simplifying further:
base = (18 / (3/2 * length))
base = 12 / length
Now, to find the area of the triangular base, we need to know the dimensions of the base. However, the question does not provide any information about the length of the prism. Hence, it is not possible to determine the area of the triangular base without the length of the prism.