Question

determine the volume of the three-dimensional figure.
the volume of the three-dimensional figure is
(type an integer or decimal.)

Explanation:

Identify the solid type

The given figure is a right triangular prism. Its base is a right-angled triangle, and its length extends along a perpendicular axis.

Calculate the base area

Using the Triangle Area knowledge point

$$ \text{Base Area } (B) = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 10\text{ m} \times 10\text{ m} = 50\text{ m}^2 $$

Calculate the volume

We find the volume by multiplying the base area by the length of the prism.

$$ V = B \times L = 50\text{ m}^2 \times 16\text{ m} = 800\text{ m}^3 $$

Answer:

The volume of the three-dimensional figure is <blank>800</blank> \(\text{m}^3\).