Question

What is the volume of the following prism

Answer 1

The volume of a triangular prism is the area of the base multiplied by the height.

Let's first identify our values:

20 cm = height of prism

12 cm = base of triangle

10 cm = height of triangle

First, we need to calculate the area of the triangle. To calculate the area of the triangle, we multiply the base of the triangle by the height of the triangle. In this case, the base is 7 and the height is 5 so 7 × 5 = 35 and then we divide 35 by 2 and we will get a quotient of 17.5.

Finally, we will multiply the area of the triangle which is 17.5 by 12.

17.5 × 12 = 210$m^{2}$.

Therefore, the area of the triangular prism is 210$m^{2}$.