What is the volume of a triangular prism with a base length of 8 cm and a height of 5 cm?
To find the volume of a triangular prism, you need to multiply the base area by the height.
1. The base area of a triangle can be found using the formula: A = (base length * height) / 2.
Given that the base length is 8 cm and the height is 5 cm:
A = (8 cm * 5 cm) / 2
A = 40 cm² / 2
A = 20 cm²
2. Now, multiply the base area by the height of the prism.
Volume = Base area * height
Volume = 20 cm² * 5 cm
Volume = 100 cm³
Therefore, the volume of the triangular prism is 100 cm³.
To find the volume of a triangular prism, you need to multiply the base area by the height. In this case, since the base is a triangle, the formula for the area of a triangle is 1/2 times the base length times the height of the triangle.
1. First, find the area of the base. Since the base is a triangle, use the formula for the area of a triangle: (base length * height) / 2.
- In this case, the base length of the triangle is 8 cm and the height of the triangle is 5 cm.
- Therefore, the area of the base is (8 cm * 5 cm) / 2 = 40 cm².
2. Once you have the base area, multiply it by the height of the prism to find the volume.
- The height of the prism is given as 5 cm.
- Therefore, the volume of the triangular prism is 40 cm² * 5 cm = 200 cm³.
So, the volume of the triangular prism with a base length of 8 cm and a height of 5 cm is 200 cm³.