The formula for volume of a TRIANGULAR PRISM is V=(area of the base) x (height of prism) (3 points) Part 1: Find the area of one TRIANGLE BASE of the prism: Area = in2 Part 2: What is the height of the prism? The height connects the 2 bases. in Part 3: Find the volume of the triangular prism using V=(area of the base) x (height of prism) = in3
(the triangular prism is16in 9in 8in)
Part 1:
To find the area of one triangle base of the prism, we first need to calculate the area of a triangle. The formula for the area of a triangle is A = 0.5 x base x height.
Given that the base of the triangle is 16 inches and the height is 9 inches, we can calculate the area of one triangle base.
A = 0.5 x 16 x 9
A = 72 square inches
Therefore, the area of one triangle base of the prism is 72 square inches.
Part 2:
The height of the prism is the vertical distance connecting the two bases. In this case, the height is given as 8 inches.
Part 3:
To find the volume of the triangular prism, we use the formula V = (area of the base) x (height of prism).
V = 72 x 8
V = 576 cubic inches
Therefore, the volume of the triangular prism is 576 cubic inches.