what is the volume, in cubic inches, of a shoe box with a length of 10 inches, a width of 7 inches, and a height of 5-1/2 inches?

a 22-1/2
b 192-1/2
c 327
d 385

Question

what is the volume, in cubic inches, of a shoe box with a length of 10 inches, a width of 7 inches, and a height of 5-1/2 inches?

a 22-1/2
b 192-1/2
c 327
d 385

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Volume of Rectangular Prism", "Fractional Multiplication" ], "current_concepts": [ "Volume of Rectangular Prism", "Fractional Multiplication" ] } ## Identify the given dimensions $$ \begin{aligned} l &= 10\text{ inches} \ w &= 7\text{ inches} \ h &= 5\frac{1}{2}\text{ inches} = 5.5\text{ inches} \end{aligned} $$ ## Apply the volume formula $$ \begin{aligned} V &= l \times w \times h \ V &= 10 \times 7 \times 5.5 \end{aligned} $$ ## Calculate the final volume $$ \begin{aligned} V &= 70 \times 5.5 \ V &= 385\text{ cubic inches} \end{aligned} $$

(A) $22\text{-}1/2$

(B) $192\text{-}1/2$

(C) $327$

(D) $385$

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

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QUESTION IMAGE

Question

Explanation:

Identify the given dimensions

Apply the volume formula

Calculate the final volume

Answer: