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Geometry, NAP-K2-17

Christy uses some blocks to make a rectangular prism and cube.
 

 
How many blocks does Christy use altogether?

17 34 43 47
 
 
 
 
Show Answers Only

`43`

Show Worked Solution

`text(Blocks in rectangular prism)\ = 2 xx 8 = 16`
  

`text(Blocks in cube)\ = 3 xx 9 = 27`
 

`:.\ text(Total blocks)` `= 16 + 27`
  `= 43`

Filed Under: 2D-3D Shapes, 2D-3D Shapes Tagged With: Band 6, smc-3121-50-Building blocks, smc-695-50-Building blocks

Geometry, NAP-B2-35 SA

Lisa builds this 3D object for a playground with cubes.
 

 
She paints all faces of the object, including the base.

How many cubes are painted on exactly 2 faces?

Show Answers Only

`9`

Show Worked Solution

`text(9 cubes will be painted on exactly 2 faces.)`

`text{(the shaded cubes below will be the ones}`

 `text{with exactly 2 faces painted.)}`

 

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

Geometry, NAP-H2-10

This is a view of a solid made by stacking 22 identical cubes.
 

 
How many cubes are completely hidden in this view?

`16` `15` `7` `6`
 
 
 
 
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`7`

Show Worked Solution

`7`

Filed Under: 2D-3D Shapes, 2D-3D Shapes Tagged With: Band 5, smc-3121-50-Building blocks, smc-695-50-Building blocks

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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