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Geometry, NAP-B2-30

Jenny and John create a 3D shape each.
 

 
The total sum of the vertices, edges and faces of Jenny's shape is 26.

What is the total sum of John's shape?

`12` `16` `20` `24`
 
 
 
 
Show Answers Only

`20`

Show Worked Solution

`text(Sum of vertices, edges and faces of John’s shape)`

`= 6 + 9 + 5`

`=20`

Filed Under: 2D-3D Shapes, 2D-3D Shapes Tagged With: Band 8, smc-3121-40-Faces and edges, smc-695-40-Faces and edges

Geometry, NAP-F2-37 SA

This is one face of a prism.
 

 
How many edges does this prism have?

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`18`

Show Worked Solution

`text(Edges on top and bottom faces)`

`= 2 xx 6`

`= 12`

`text(Side edges = 6)`

`:.\ text(Total edges)` `= 6 + 12`
  `= 18`

Filed Under: 2D-3D Shapes, 2D-3D Shapes Tagged With: Band 9, smc-3121-40-Faces and edges, smc-695-40-Faces and edges

Geometry, NAP-E2-17

These shapes are the five faces of a 3D object.

 
What is the name of the object?

 
triangular pyramid
 
triangular prism
 
square pyramid
 
cube
Show Answers Only

`text(square pyramid)`

Show Worked Solution

`text(Square pyramid)`

Filed Under: 2D-3D Shapes, 2D-3D Shapes Tagged With: Band 6, smc-3121-40-Faces and edges, smc-695-40-Faces and edges

Geometry, NAP-H2-27

Which net folds into a 3D object with 9 edges?

 
 
 
 
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Show Worked Solution

`text(Consider the net in option 1:)`

`text(This 3D object has has 9 edges.)`

Filed Under: 2D-3D Shapes, 2D-3D Shapes Tagged With: Band 6, smc-3121-40-Faces and edges, smc-3121-60-Nets, smc-695-40-Faces and edges, smc-695-60-Nets

Geometry, NAP-G2-06

Pablo is part of the way through making a cube using plasticine balls and sticks, as shown below.
 

 
How many more sticks does Pablo need to finish the cube?

`3` `4` `5` `6` `8`
 
 
 
 
 
Show Answers Only

`4`

Show Worked Solution

`text(The extra sticks needed = 4)`

Filed Under: 2D-3D Shapes, 2D-3D Shapes Tagged With: Band 3, smc-3121-20-3D objects, smc-3121-40-Faces and edges, smc-695-20-3D objects, smc-695-40-Faces and edges

Geometry, NAP-D2-12

Ruby made a 3D object using only hexagons and rectangles as faces.

Which object could she have made?

 
 
 
 
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Show Worked Solution

Filed Under: 2D-3D Shapes, 2D-3D Shapes Tagged With: Band 5, smc-3121-20-3D objects, smc-3121-40-Faces and edges, smc-695-20-3D objects, smc-695-40-Faces and edges

Geometry, NAP-D2-36 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 Answers Only

`2`

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.)`

Filed Under: 2D-3D Shapes, 2D-3D Shapes Tagged With: Band 9, smc-3121-40-Faces and edges, smc-3121-50-Building blocks, smc-695-40-Faces and edges, smc-695-50-Building blocks

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