Question

find the volume of the prism. v = ? m³

Explanation:

Step1: Find the area of the triangular base

The triangular base is a right triangle (since the two legs are 16 m and 12 m, and it's a right angle as indicated). The area of a triangle is $\frac{1}{2} \times base \times height$. Here, base = 16 m and height = 12 m. So, area of the triangle $A = \frac{1}{2} \times 16 \times 12$.
$A = 8 \times 12 = 96$ $m^2$.

Step2: Calculate the volume of the prism

The volume of a prism is given by the formula $V = A \times h$, where $A$ is the area of the base and $h$ is the height (or length) of the prism. Here, the height of the prism (the distance along the direction perpendicular to the triangular base) is 20 m. So, $V = 96 \times 20$.
$V = 1920$ $m^3$.

Answer:

1920