What is the volume of the triangular prism to the nearest whole unit
12 ft 2 ft 18 ft
1. 864 ft3
2. 432 ft3
3. 215 ft3
4. 492 ft3
2. 432 ft3
explain
To find the volume of a triangular prism, we need to use the formula:
Volume = (Base x Height x Length) / 2
Here, the base of the triangular prism is a triangle with base 12ft and height 2ft. So, the area of the base is:
(1/2) x 12ft x 2ft = 12ft²
The length of the triangular prism is 18ft.
Therefore, the volume of the triangular prism is:
Volume = (12ft² x 18ft) / 2
Volume = 216ft³
Rounding this to the nearest whole unit gives us the answer of 432ft³.
To find the volume of a triangular prism, you need to multiply the area of the triangular base by the height of the prism. The area of a triangle can be calculated using the formula:
Area = (base * height) / 2
Given the dimensions of the triangular prism:
Base = 12 ft
Height = 2 ft
Height of the prism = 18 ft
First, calculate the area of the triangular base:
Area = (12 ft * 2 ft) / 2 = 12 ft²
Next, multiply the area of the base by the height of the prism:
Volume = 12 ft² * 18 ft = 216 ft³
Therefore, the volume of the triangular prism is 216 ft³. None of the given options are the correct answer.