Which of these 3D objects has exactly 7 faces?
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Geometry, NAP-G3-NC25 SA
This drawing shows how a large rectangular prism is cut into 3 objects.
Step 1: A medium rectangular prism is cut from a large rectangular prism.
Step 2: The smaller rectangular prism is cut into 2 identical triangular prisms.
What is the total number of faces of the three pieces after Step 2, including the bases?
| faces |
Geometry, NAP-H3-NC31 SA
Kate cuts a solid prism with six faces in half to make two smaller identical prisms.
What is the least number of faces that one of the smaller prisms could have?
Show Worked Solution
`text(With 6 faces, prism must be a quadrilateral prism.)`
`text{Consider the top view of the prism (one example):}`
`text(Cut 1 will produce 2 triangular prisms with)`
`text(5 faces each.)`
`text(Cut 2 will produce 2 rectangular prisms with)`
`text(6 faces each.)`
`:. 5\ text(faces is the least.)`
Geometry, NAP-A3-CA23
Which object has exactly twice as many edges as faces?
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`text(Consider each option …)`
`text(Option 1: 5F, 9E)`
`text(Option 2: 8F, 18E)`
`text(Option 3: 5F, 8E)`
`text(Option 4: 6F, 12E)`
Geometry, NAP-A3-NC04
A rectangular prism and a triangular prism are joined together to create the shape below.
How many faces does the new object have?
| 4 | 7 | 8 | 15 |
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Geometry, NAP-D3-NC26 SA
Nathan stacked 30 blocks into a rectangular prism as shown below.
The prism has 6 faces.
Nathan removes some blocks and the remaining shape has 14 faces.
What was the smallest number of blocks that he could have removed?
Show Worked Solution
`text(If Nathan removes the middle block in the second)`
`text(column, the number of faces on the new shape)`
`text(increases by 4.)`
`:.\ text(If he removes the middle block of the second and)`
`text(fourth column, the shape has 14 faces.)`
`:.\ text(2 blocks is the smallest number.)`
Geometry, NAP-E3-CA14
Which of these shapes does not have exactly six faces?
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a cube |
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a trapezoidal prism |
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a square pyramid |
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a rectangular prism |
Geometry, NAP-B3-NC21 SA
Jeff cut three corners off a triangular pyramid as shown.
How many edges does the object have now?
Geometry, NAP-F3-NC24 SA
This is one face of a prism.
How many edges does this prism have?
Geometry, NAP-I3-NC32 SA
The objects below can be used as dice in a board game.
How many edges does one of these objects have?
Geometry, NAP-E4-NC21
A T-shaped prism is pictured below.
How many edges does the prism have?
| `10` | `19` | `20` | `22` | `24` |
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Geometry, NAP-G4-NC28 SA
The edges of a 4 × 4 × 4 cube are formed using blocks as shown below:
In total, 32 blocks are used.
How many blocks would be needed to make the edges of an 8 × 8 × 8 cube in the same way?