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Measurement, NAP-J2-32

Kim made these solid prisms out of identical cubes.

Which prism has the largest volume?
 

 
 
 
 
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Show Worked Solution

`text{The prism with the largest volume (36 cubes) is:}`
  

Filed Under: Length, Area and Capacity, Perimeter, Area and Volume, Perimeter, Area and Volume Tagged With: Band 6, smc-3036-40-Capacity, smc-3090-40-Volume, smc-696-40-Volume

Measurement, NAP-F2-38 SA

Brendan builds a solid object using identical blocks, as pictured below.
 

 
The object has 6 faces.

How many blocks did he use?

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`48`

Show Worked Solution
`text(Top row)` `= 8 xx 4`
  `= 32`
`text(2nd row)` `= 4 xx 2`
  `= 8`
`text(3rd row)` `= 2 xx 4`
  `= 8`

 

`:.\ text(Total blocks used)`

`= 32 + 8 + 8`

`= 48`

Filed Under: Perimeter, Area and Volume, Perimeter, Area and Volume Tagged With: Band 9, smc-3090-40-Volume, smc-696-40-Volume

Measurement, NAP-C2-28 SA

There are 8 small boxes packed into the carton below.
 

 
How many small boxes can fit in the carton altogether?

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`24\ text(boxes)`

Show Worked Solution
`text(Boxes on base)` `=3 xx 2`
  `=6`

 

`:.\ text(Total boxes)` `= 6 xx 4`
  `= 24`

Filed Under: Perimeter, Area and Volume, Perimeter, Area and Volume Tagged With: Band 6, smc-3090-40-Volume, smc-696-40-Volume

Measurement, NAP-E2-39 SA

Shanka is packing some smaller boxes into a large box.
 

  
What is the greatest number of the small boxes that will fit into the large box?

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`12\ text(boxes)`

Show Worked Solution

`text(By readjusting the alignment of the smaller box,)`

`text(12 boxes will fit into the large box.)`

Filed Under: Perimeter, Area and Volume, Perimeter, Area and Volume Tagged With: Band 9, smc-3090-40-Volume, smc-696-40-Volume

Number and Algebra, NAP-G2-35 SA

Archer has blocks with two square faces.

He builds the model below.
 

 
What is the height of the model in centimetres?

  centimetres
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`12\ text(cm)`

Show Worked Solution

`text(2 × length of block = 18 cm)`

`=>\ text(Length of 1 block = 9 cm)`

`=>\ text(Side length of the square face)`

`= 9 ÷ 3`

`= 3\ text(cm)`
 

`:.\ text(Height)` `= 3 xx 4`
  `= 12\ text(cm)`

Filed Under: Perimeter, Area and Volume, Perimeter, Area and Volume, Solving Problems - Multiply/Divide, Solving problems - Multiply/Divide Tagged With: Band 8, smc-3085-40-Multi-Step problem, smc-3090-40-Volume, smc-696-40-Volume, smc-922-40-Multi-Step problem

Measurement, NAP-E2-07

Byrne makes a model using identical blocks.

Which of these correctly shows the number of blocks in the model?

 
`4 xx 8`
 
`8 xx 8`
 
`4 + 4 + 8`
 
`4 xx 4 + 4`
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`4 xx 8`

Show Worked Solution

`4 xx 8`

Filed Under: Perimeter, Area and Volume, Perimeter, Area and Volume Tagged With: Band 4, smc-3090-40-Volume, smc-696-40-Volume

Measurement, NAP-D2-18

 
How much more water is need to fill the jug to 2 litres?

`text(400 mL)` `text(500 mL)` `text(600 mL)` `text(1500 mL)`
 
 
 
 
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`text(500 mL)`

Show Worked Solution

`text(Volume of water in jug)`

`= 1.5\ text(L)`

`:.\ text(Extra water to be added)`

`= 2.0 – 1.5`

`= 0.5\ text(L)`

`= 500\ text(mL)`

Filed Under: Perimeter, Area and Volume, Perimeter, Area and Volume, Units of Measurement, Units of Measurement Tagged With: Band 6, smc-3089-30-Convert mL/L, smc-3090-40-Volume, smc-696-40-Volume, smc-919-30-Convert mL/L

Measurement, NAP-I2-15

Banjo started with 475 millilitres of water in a flask.

After he poured some of the water into a cup, the level of water in the flask is pictured below.
 

  
How much water did Banjo pour into the cup?

`text(50 millilitres)` `text(75 millilitres)` `text(100 millilitres)` `text(400 millilitres)`
 
 
 
 
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`text(75 millilitres)`

Show Worked Solution

`text(Volume of water poured into the cup)`

`=475 – 400`

`= 75\ text(millilitres)`

Filed Under: Perimeter, Area and Volume, Perimeter, Area and Volume, Units of Measurement, Units of Measurement Tagged With: Band 5, smc-3089-10-Scale measure, smc-3090-40-Volume, smc-696-40-Volume, smc-919-10-Scale measure

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