triangular prism
16 to the left
9 to the bottom
and 8 to the right
the 90 degree is between 16 and 9 if that makes a difference
The formula for volume of a TRIANGULAR PRISM is V=(area of the base) x (height of prism)
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
Part 1:
To find the area of one triangle base of the prism, we can use the formula for the area of a triangle: A = 1/2 * base * height.
Given that the base of the triangle is 16 and the height is 9, we can plug these values into the formula:
A = 1/2 * 16 * 9 = 72 in^2.
Part 2:
The height of the prism is the third side of the triangle that forms the base. From the right triangle formed by the base and the height of the prism, we can use the Pythagorean theorem to find the height:
16^2 + 9^2 = h^2
256 + 81 = h^2
337 = h^2
h ≈ 18.36 in
Part 3:
Now that we have the area of the base (72 in^2) and the height of the prism (approximately 18.36 in), we can find the volume of the triangular prism using the formula V = (area of the base) x (height of prism):
V = 72 in^2 * 18.36 in ≈ 1321.92 in^3
Therefore, the volume of the triangular prism is approximately 1321.92 cubic inches.