Question

the largest piece of luggage shaped like a rectangular prism that you can carry on an airplane measures 23 inches by 10 inches by 13 inches. find the volume if the formula for the volume is \\(v = l \cdot w \cdot h\\).

\\(1000\text{ in}^3\\)

\\(12,167\text{ in}^3\\)

\\(2990\text{ in}^3\\)

\\(230\text{ in}^3\\)

Explanation:

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<reasoning>

Identify the given dimensions and formula

\[

$$\begin{aligned} &L = 23\text{ in}\\ &W = 10\text{ in}\\ &H = 13\text{ in}\\ &V = L \cdot W \cdot H \end{aligned}$$

\]

Calculate the volume

\[

$$\begin{aligned} V &= 23 \cdot 10 \cdot 13 \\ V &= 230 \cdot 13 \\ V &= 2990\text{ in}^3 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>(A) \(1000\text{ in}^3\)</mcq-option>
<mcq-option>(B) \(12,167\text{ in}^3\)</mcq-option>
<mcq-correct>(C) \(2990\text{ in}^3\)</mcq-correct>
<mcq-option>(D) \(230\text{ in}^3\)</mcq-option>
</answer>

<post_analysis>
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"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Geometry",
"Prism Volume Calculation"
]
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Answer:

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<reasoning>

Identify the given dimensions and formula

\[

$$\begin{aligned} &L = 23\text{ in}\\ &W = 10\text{ in}\\ &H = 13\text{ in}\\ &V = L \cdot W \cdot H \end{aligned}$$

\]

Calculate the volume

\[

$$\begin{aligned} V &= 23 \cdot 10 \cdot 13 \\ V &= 230 \cdot 13 \\ V &= 2990\text{ in}^3 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>(A) \(1000\text{ in}^3\)</mcq-option>
<mcq-option>(B) \(12,167\text{ in}^3\)</mcq-option>
<mcq-correct>(C) \(2990\text{ in}^3\)</mcq-correct>
<mcq-option>(D) \(230\text{ in}^3\)</mcq-option>
</answer>

<post_analysis>
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"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
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]
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