the oblique pyramid has a square base.
what is the volume of the pyramid?

- 2.5 cm^3
- 5 cm^3
- 6 cm^3
- 7.5 cm^3

Question

the oblique pyramid has a square base.
what is the volume of the pyramid?

- 2.5 cm^3
- 5 cm^3
- 6 cm^3
- 7.5 cm^3

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Pyramid Base Geometry", "Volume of Oblique Pyramids" ], "new_concepts": [], "current_concepts": [ "Pyramid Base Geometry", "Volume of Oblique Pyramids" ] } ## Calculate the area of the square base Using the *Pyramid Base Geometry* knowledge point $$ \begin{aligned} s &= 2\text{ cm} \ B &= s^2 = 2^2 = 4\text{ cm}^2 \end{aligned} $$ ## Calculate the volume of the oblique pyramid Using the *Volume of Oblique Pyramids* knowledge point $$ \begin{aligned} h &= 3.75\text{ cm} \ V &= \frac{1}{3} \cdot B \cdot h = \frac{1}{3} \cdot 4 \cdot 3.75 = 5\text{ cm}^3 \end{aligned} $$

(A) 2.5 cm³

(B) 5 cm³

(C) 6 cm³

(D) 7.5 cm³

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

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QUESTION IMAGE

Question

Explanation:

Calculate the area of the square base

Calculate the volume of the oblique pyramid

Answer: