find the volume of the prism using the given measurements.

* (12\text{ mm})
* (9\text{ mm})
* (5\text{ mm})

choices:
* (504\text{ mm}^3)
* (540\text{ mm}^3)
* (153\text{ mm}^3)
* (105\text{ mm}^3)

19. fill in the blank 1 point
one dimension of the rectangular prism is missing. use the information provided to determine the missing dimension.

* (4\text{ in})
* (8\text{ in})
* $\text{volume} = 96\text{ cubic in}$

type your answer...

20. fill in the blank 1 point
one dimension of the rectangular prism is missing. use the information provided to determine the missing dimension.

* (10\text{ mm})
* (8\text{ mm})
* $\text{volume} = 800\text{ cubic mm}$

Question

find the volume of the prism using the given measurements.

* (12\text{ mm})
* (9\text{ mm})
* (5\text{ mm})

choices:
* (504\text{ mm}^3)
* (540\text{ mm}^3)
* (153\text{ mm}^3)
* (105\text{ mm}^3)

19. fill in the blank 1 point
one dimension of the rectangular prism is missing. use the information provided to determine the missing dimension.

* (4\text{ in})
* (8\text{ in})
* $\text{volume} = 96\text{ cubic in}$

type your answer...

20. fill in the blank 1 point
one dimension of the rectangular prism is missing. use the information provided to determine the missing dimension.

* (10\text{ mm})
* (8\text{ mm})
* $\text{volume} = 800\text{ cubic mm}$

Accepted Answer

{ "quality": "clear", "question_count": 3, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Volume of a Prism" ], "new_concepts": [], "current_concepts": [ "Volume of a Prism", "Volume of a Rectangular Prism" ] } ## Calculate the volume of the first prism $$ \begin{aligned} V &= l \cdot w \cdot h \ V &= 9\text{ mm} \times 5\text{ mm} \times 12\text{ mm} \ V &= 540\text{ mm}^3 \end{aligned} $$ ## Find the missing dimension of the second prism $$ \begin{aligned} V &= l \cdot w \cdot h \ 96 &= 8 \times 4 \times w \ 96 &= 32w \ w &= 3\text{ in} \end{aligned} $$ ## Find the missing dimension of the third prism $$ \begin{aligned} V &= l \cdot w \cdot h \ 800 &= l \times 8 \times 10 \ 800 &= 80l \ l &= 10\text{ mm} \end{aligned} $$ ## Question 1 504 $\text{mm}^3$

540 $\text{mm}^3$

153 $\text{mm}^3$

105 $\text{mm}^3$ ## Question 19 One dimension of the rectangular prism is missing. Use the information provided to determine the missing dimension. 3 in ## Question 20 One dimension of the rectangular prism is missing. Use the information provided to determine the missing dimension. 10 mm { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Geometry", "Volume of a Prism" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate the volume of the first prism

Find the missing dimension of the second prism

Find the missing dimension of the third prism

Answer:

Question 1

Question 19

Question 20