When finding the volume of a triangular prism, first we must find the area of the base. What is the area of the base of the triangular prism
one side is 3CM
another side is 2CM
and anothe side is - 7CM
To find the area of the base of the triangular prism, we have to calculate the area of the triangle with sides 3 cm, 2 cm, and 7 cm.
First, we calculate the semi-perimeter of the triangle:
s = (3 + 2 + 7) / 2
s = 6 cm
Now, we can use Heron's formula to calculate the area of the triangle:
Area = √[s * (s - a) * (s - b) * (s - c)]
Area = √[6 * (6 - 3) * (6 - 2) * (6 - 7)]
Area = √[6 * 3 * 4 * -1]
Area = √[72]
Area ≈ 8.49 cm^2
Therefore, the area of the base of the triangular prism is approximately 8.49 square centimeters.
whatst he volume of it
To find the volume of the triangular prism, you need to multiply the area of the base by the height of the prism.
Assuming the height of the prism is 10 cm (for example), you can calculate the volume as follows:
Volume = Area of base * Height
Volume = 8.49 cm^2 * 10 cm
Volume = 84.9 cubic centimeters
Therefore, the volume of the triangular prism is 84.9 cubic centimeters.