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 $v = l \cdot w \cdot h$.

$1000\text{ in}^3$

$12,167\text{ in}^3$

$2990\text{ in}^3$

$230\text{ in}^3$

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\$

$1000\text{ in}^3$

$12,167\text{ in}^3$

$2990\text{ in}^3$

$230\text{ in}^3$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Algebraic Evaluation" ], "new_concepts": [ "Prism Volume Calculation" ], "current_concepts": [ "Algebraic Evaluation", "Prism Volume Calculation" ] } ## 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 $$ \begin{aligned} V &= 23 \cdot 10 \cdot 13 \ V &= 230 \cdot 13 \ V &= 2990\text{ in}^3 \end{aligned} $$

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

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

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

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

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Prism Volume Calculation" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given dimensions and formula

Calculate the volume

Answer: