What is the volume of a triangle prisim with the hight of 13 inches, the width of 7 inches and the length of 18 inches
To find the volume of a triangular prism, you need to calculate the area of the triangular base (which is 1/2 base x height of the triangle) and then multiply it by the length of the prism.
Given:
Height of the prism (h) = 13 inches
Width of the base = 7 inches
Length of the prism (l) = 18 inches
First, find the area of the triangular base:
Area of triangle = 1/2 x base x height
Area of triangle = 1/2 x 7 inches x 13 inches
Area of triangle = 45.5 square inches
Now, multiply the area of the triangular base by the length of the prism to get the volume:
Volume = Area of triangle x Length of prism
Volume = 45.5 square inches x 18 inches
Volume = 819 cubic inches
Therefore, the volume of the triangular prism is 819 cubic inches.