Geometry, NAPX-H3-NC31 SA

Question

Manuel cuts a triangular prism to make two smaller prisms.

What is the highest number of total faces that the two smaller prisms could have combined?

Worked Solution

Most faces occur when the cut produces a triangular and a quadrilateral prism (i.e. not 2 triangular prisms).

Consider the following cut:
∴\therefore Total faces (max) = 5 + 6
= {{{correctAnswer0}}}

Variant 0

DifficultyLevel

715

Question

Manuel cuts a triangular prism to make two smaller prisms.

What is the highest number of total faces that the two smaller prisms could have combined?

Worked Solution

Most faces occur when the cut produces a triangular and a quadrilateral prism (i.e. not 2 triangular prisms).

Consider the following cut:
∴\therefore Total faces (max) = 5 + 6
= 11

Question Type

Answer Box

Variables

Variable nameVariable value
correctAnswer0
11
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer011

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