find the volume of this square based pyramid.
? $\text{ft}^3$

Question

find the volume of this square based pyramid.
 ?  $\text{ft}^3$

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 Square Pyramid" ], "new_concepts": [], "current_concepts": [ "Volume of a Square Pyramid" ] } ## Calculate the base area of the pyramid Using the *Volume of a Square Pyramid* knowledge point $$ \begin{aligned} s &= 6\text{ ft} \ B &= s^2 = 6^2 = 36\text{ ft}^2 \end{aligned} $$ ## Calculate the volume of the pyramid Using the *Volume of a Square Pyramid* knowledge point $$ \begin{aligned} h &= 5\text{ ft} \ V &= \frac{1}{3} \cdot B \cdot h = \frac{1}{3} \cdot 36 \cdot 5 = 12 \cdot 5 = 60\text{ ft}^3 \end{aligned} $$ Find the volume of this square based pyramid. 60 $\text{ft}^3$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Volume of a Square Pyramid" ] }

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Explanation:

Calculate the base area of the pyramid

Calculate the volume of the pyramid

Answer: