Question

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

Explanation:

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<reasoning>

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.
\[
V = B \times L = 50\text{ m}^2 \times 16\text{ m} = 800\text{ m}^3
\]
</reasoning>

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

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"question_type": "Fill-in-the-blank",
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"Volume of Prism"
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Answer:

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"blank_filling_formatter",
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</pre_analysis>

<reasoning>

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.
\[
V = B \times L = 50\text{ m}^2 \times 16\text{ m} = 800\text{ m}^3
\]
</reasoning>

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

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"knowledge_point": [
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"Volume of Prism"
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