find the volume of this square based pyramid.

\v = ?\text{ cm}^3\

round to the nearest tenth.

Question

find the volume of this square based pyramid.

\v = ?\text{ cm}^3\

round to the nearest tenth.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Volume of a Pyramid" ], "new_concepts": [], "current_concepts": [ "Volume of a Pyramid" ] } ## Calculate the base area of the square pyramid Using the *Volume of a Pyramid* knowledge point $$ B = 8\text{ cm} \times 8\text{ cm} = 64\text{ cm}^2 $$ ## Calculate the volume of the pyramid Using the *Volume of a Pyramid* knowledge point $$ \begin{aligned} V &= \frac{1}{3} \times B \times h \ V &= \frac{1}{3} \times 64\text{ cm}^2 \times 10\text{ cm} \ V &= \frac{640}{3}\text{ cm}^3 \approx 213.333...\text{ cm}^3 \end{aligned} $$ ## Round the volume to the nearest tenth Using the *Volume of a Pyramid* knowledge point $$ V \approx 213.3\text{ cm}^3 $$ Find the volume of this square based pyramid. $V =$ 213.3 $\text{cm}^3$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Volume of a Pyramid" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate the base area of the square pyramid

Calculate the volume of the pyramid

Round the volume to the nearest tenth

Answer: