find the volume of the prism using the given measurements.

* (15 ext{ cm}^3)
* (120 ext{ cm}^3)
* (210 ext{ cm}^3)
* (34 ext{ cm}^3)

9 multiple choice 1 point
find the volume of the figure below using the measurements given.

* (156 ext{ in}^3)
* (390 ext{ in}^3)
* (780 ext{ in}^3)
* (650 ext{ in}^3)

Question

find the volume of the prism using the given measurements.

* (15	ext{ cm}^3)
* (120	ext{ cm}^3)
* (210	ext{ cm}^3)
* (34	ext{ cm}^3)

9 multiple choice 1 point
find the volume of the figure below using the measurements given.

* (156	ext{ in}^3)
* (390	ext{ in}^3)
* (780	ext{ in}^3)
* (650	ext{ in}^3)

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Volume of a Prism" ], "new_concepts": [ "Volume of a Triangular Prism" ], "current_concepts": [ "Volume of a Prism", "Volume of a Triangular Prism" ] } ## Calculate the volume of the rectangular prism $$ \begin{aligned} V_{\text{rectangular}} &= \text{length} \times \text{width} \times \text{height} \ V_{\text{rectangular}} &= 6\text{ cm} \times 4\text{ cm} \times 5\text{ cm} \ V_{\text{rectangular}} &= 120\text{ cm}^3 \end{aligned} $$ ## Calculate the volume of the triangular prism $$ \begin{aligned} \text{Base Area } (B) &= \frac{1}{2} \times \text{base of triangle} \times \text{height of triangle} \ B &= \frac{1}{2} \times 13\text{ in} \times 6\text{ in} = 39\text{ in}^2 \ V_{\text{triangular}} &= B \times \text{height of prism} \ V_{\text{triangular}} &= 39\text{ in}^2 \times 10\text{ in} = 390\text{ in}^3 \end{aligned} $$ ## Question 1 (A) $15\text{ cm}^3$

(B) $120\text{ cm}^3$

(C) $210\text{ cm}^3$

(D) $34\text{ cm}^3$ ## Question 2 (A) $156\text{ in}^3$

(B) $390\text{ in}^3$

(C) $780\text{ in}^3$

(D) $650\text{ in}^3$

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

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QUESTION IMAGE

Question

Explanation:

Calculate the volume of the rectangular prism

Calculate the volume of the triangular prism

Answer:

Question 1

Question 2