8. mohammed drew unit cubes on a picture of a truck to find its volume. what is the volume of the truck? explain.

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Unit Cube Counting", "Volume of Prisms" ], "new_concepts": [], "current_concepts": [ "Unit Cube Counting", "Volume of Prisms" ] } ## Identify the dimensions of the prism Using the *Unit Cube Counting* and *Volume of Prisms* knowledge points $$ \begin{aligned} &\text{Length } (l) = 5 \text{ units}\ &\text{Width } (w) = 3 \text{ units}\ &\text{Height } (h) = 3 \text{ units} \end{aligned} $$ ## Calculate the total volume Using the *Volume of Prisms* knowledge point $$ \begin{aligned} &V = l \times w \times h\ &V = 5 \times 3 \times 3\ &V = 45 \text{ cubic units} \end{aligned} $$ The volume of the truck is 45 cubic units. To find the volume, count the unit cubes along each dimension of the rectangular prism representing the truck's cargo space: the length is 5 unit cubes, the width is 3 unit cubes, and the height is 3 unit cubes. Multiplying these dimensions together ($5 \times 3 \times 3$) gives a total volume of 45 cubic units. { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Geometry", "Volume of Prisms" ] }

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Identify the dimensions of the prism

Calculate the total volume

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