the volume of an oblique pyramid with a square base is $v\text{ units}^3$ and the height is $h\text{ units}$.

which expression represents the area of the base of the pyramid?

$\bigcirc\quad \frac{3v}{h}\text{ units}^2$
$\bigcirc\quad (3v - h)\text{ units}^2$
$\bigcirc\quad (v - 3h)\text{ units}^2$
$\bigcirc\quad \frac{v}{3h}\text{ units}^2$

Question

the volume of an oblique pyramid with a square base is $v\text{ units}^3$ and the height is $h\text{ units}$.

which expression represents the area of the base of the pyramid?

$\bigcirc\quad \frac{3v}{h}\text{ units}^2$
$\bigcirc\quad (3v - h)\text{ units}^2$
$\bigcirc\quad (v - 3h)\text{ units}^2$
$\bigcirc\quad \frac{v}{3h}\text{ units}^2$

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": [ "Volume of Oblique Pyramids", "Literal Equations" ], "new_concepts": [], "current_concepts": [ "Volume of Oblique Pyramids", "Literal Equations" ] } ## State the volume formula for an oblique pyramid Using the *Volume of Oblique Pyramids* knowledge point $$ V = \frac{1}{3} \cdot B \cdot h $$ ## Solve the literal equation for the base area B Using the *Literal Equations* knowledge point $$ \begin{aligned} 3V &= B \cdot h \ B &= \frac{3V}{h} \end{aligned} $$

(A) $\frac{3V}{h}\text{ units}^2$

(B) $(3V - h)\text{ units}^2$

(C) $(V - 3h)\text{ units}^2$

(D) $\frac{V}{3h}\text{ units}^2$

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

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QUESTION IMAGE

Question

Explanation:

State the volume formula for an oblique pyramid

Solve the literal equation for the base area B

Answer: