Find the volume of the triangular prism.
A triangular prism is shown. The front triangular face of the prism has a base measure of 12 feet and perpendicular height of 2 feet. The length of the prism between the triangular faces is 18 feet.
864 ft3
432 ft3
216 ft3
492 ft3
AAAaannndd the bot gets it wrong yet again!
v = Bh = 1/2 * 12 * 2 * 18 = 216 ft^3
To find the volume of a triangular prism, we first need to find the area of the base triangle.
The formula to find the area of a triangle is:
Area = (base * height) / 2
In this case, the base measure of the front triangular face is 12 feet and the perpendicular height is 2 feet.
Area of the base triangle = (12 * 2) / 2 = 24 / 2 = 12 square feet
Next, we multiply the area of the base triangle by the length of the prism to find the volume:
Volume = (area of base triangle) * (length of prism)
= 12 square feet * 18 feet
= 216 cubic feet
Therefore, the volume of the triangular prism is 216 ft³.
The correct answer is 216 ft³.
To find the volume of a triangular prism, you multiply the area of the triangular base by the length of the prism.
Step 1: Find the area of the triangular base:
The area of a triangle is given by the formula: (base * height) / 2.
In this case, the base measure is 12 feet and the perpendicular height is 2 feet.
So, the area of the triangular base is (12 * 2) / 2 = 12 square feet.
Step 2: Multiply the area of the base by the length of the prism:
The length of the prism is 18 feet.
Therefore, the volume of the triangular prism is (12 square feet) * 18 feet = 216 cubic feet.
So, the correct answer is 216 ft3.