Measurement, NAPX-p116876v03
U2FsdGVkX1+/zPnHmnGcer83GOyaZzN2otyJ/IXUo2jUVb86HlTrV2Lj7WGSBzYtwyoOHr2B1cb/ucgTcQFM/8v+sfrSoxbZBPHwGCdp2kQIJcL6x92UPEzem5kL87XktyFPNXi1vwfi6GNQkr7kx5PMwXKbiMtwmeIBSA5jG0F3Cd/fDlpvZ6CnAEPj/HjBzXQ+V8rwQowLg0usPkMNHvWcG718qJHB6MTCXeQpnZf+v85Oa5he2yxFOIMS04tdz9WevKqQAbb6+lOOcUayiA/bUyQFS/06Gghk1Yd5MI6Enbe/KD8/gQehxDfUlM1QAuGGC/DLxzWVuRUv+CbWoiP2kQbcJgTzBCNfGD8a+W7yeqX84NVWInp/jVtLMzcp2cO9nsqkxHUCeaxQ5SICBa1Ab/oFuxQ3AhMq6anixf4Akxi2xVNsvmqlOzvS+kAFi0xe6uPaiOoa7fjtW+/vS/AqjZoIsyRb7tfYrC1nh0rOWmXyZdZcO2WvBl/1C6vWRNRiEl2iELBrUopaRLid0eyjKNbM7qDW/40unRuWy1Q4vdC5PqFbd1ZfRxppVGULA5TOw5umkuZtQgQTcw+9ZxM298egwGZ0Fh63cRE2aRXn+lspoh46ZnBUzPWCNDQXRXbBIFz79ELN7c9srSQiwBQ0YKdZ7bbQUGm3UB206VpS71Ha7tHI9VL8ene0xgENsN0rj6pdFL909qvxQbkgw5fdlWlI+gJ9p53Btnvs3lI6oFSxym+cZ4Zu/Rt1QYsD+1bkBNT4aLAiGYRP4B54R0tvJPnGMq1V3xy3bZF3tx1xzQSYpqsNXckz2S1zEuQu4uzH7FYxIj9hFQoeH9DoNf2TQtJnMbSFaY3Ztr7671XlUHp6fuHtkDlyS3xbov24NS2xr0J4JOF7lSB0iRBDBFp1S5lTlsiQS4z8b94ydEms0Xc/nnWH5Omr0P8BsAMZeIycSBowgh91XTrbrn4SA1BrwGmro9Cph/Eg4gy9SzRml4EfiMFhx2de7cpOT+7olnKwVH9H0+Em39JQmWpN3/9SlMifgin6Vj+3vDABfkCeOuQrnY7cEJeOA0RetfUnfbDEN842Gn34TRPBCYla7dbgUwLISkdzzJC8kvoU0vwLfyGr3puNQIIm1StXnnJ8hJz47XvXc6UUChsVlWvSgYDbGjl0u7hax+FLSyFbBlRyQVQYwVolAkkOK4ia7Or3f9MZITl9nk1uPVKzxGt801qa217I4dImaHyfJA4NMUC9kXNs/U6Qk0RxwjWTwa8Wo9Wh+IvEftDG9G2yBF31REPYsrFdCLglvaie83tO7229IpkjrO8RgJhKu++JhCdoPpfUe+S9uIkkv88XkfXBTTdoNmLVM48P3POql6EcNdn32dAuSnKRDxQs8XiHI7phGWgliMSCEWPbqoaW4PtgYigFP+3lInMIg/RT5SWgf5T2Ob6SLYG4A9RXB7wEgQQZeDquM6lJXdJa/LEnBYemOONpjigV+6+bnv2xo5SCCUXUwvs8FevmgVueiRCV7wUJ5/v+28Yx3rUyouKs0HrEvbPEQZANpv7mFuQ4CVusuIl0HAcRAvn7qu5T9WpdWgIw6GAH+HDJuvpViJ/gYZCz6PBHG0NtTQYTJ0Lw3OzdNgqZwirCgQ8D44LD+1LsQIuuKTJYk/kbEKFbhwz+8iveFWlmtgSOmRTJraZ3TdPgcOip6gMdgsuuENHcxxuat0gZNmLLhezE6xvKXKL8KK3KlAO282t3TbmqrzuR9imeJ5gTB6Pz/Es3TggN8/c0wqsdmsJRH2/cl2jR6/S30OfGvouIkUxFgrrAEQwKmuntsqyfrk7XBxTg3Nx9dBvxTld5xeqpO0TTv9NqhRTtT66w8Ao9NphGufJAhwBksvyKFYwoXi6FuFIGJ2pXLvjUyCjKj6rkqrSkDRC1urNL1IFsq2uy7oxaZIIc8yKOFbDmcW5UIztE61zVCFVENVvlHWyjRbRwOguwAJjjH+7XyfrMiocsIrn0aaVS9fLJkgYzYcHvevzzF4OY9Qoder/10wBRSlLdMW1w7NWJI1MmvQp4v7rKFBjxMNO6YII4GYNhfLCV1kRzse6ibkIJUP3X7BCD0ThaVQNKLLbQTrFGoQMMrnrQKU/2zCnXrdqEhLRHNc9p+nEUr8lM5a+LPqKG9CmUwKq+RwEc893wtPa3dryJp4mA0L0rg2qmzgPSdZ+9A6x6dEHQFaTWoIJZqPXKxDu9d5mdqAr+DM1U2KD4jNrzhg==
Variant 0
DifficultyLevel
452
Question
Ella builds the shape below using identical small blocks.
What is the smallest number of blocks Ella needs to build a cube?
Worked Solution
The smallest cube will be 3 × 3 × 3
Extra cubes needed (by row):
Bottom row = 2
2nd row = 3
Top row = 5
∴ 10 blocks needed
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | Ella builds the shape below using identical small blocks.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX5-TLA-5-v1.svg 180 indent3 vpad
What is the smallest number of blocks Ella needs to build a cube?
|
| workedSolution | The smallest cube will be 3 × 3 × 3
Extra cubes needed (by row):
Bottom row = 2
2nd row = 3
Top row = 5
$\therefore$ {{{correctAnswer}}} blocks needed |
| correctAnswer | |
Answers
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
Variant 1
DifficultyLevel
450
Question
Flanno builds the shape below using identical small blocks.
What is the smallest number of blocks Flanno needs to build a cube?
Worked Solution
The smallest cube will be 3 × 3 × 3
Extra cubes needed (by row):
Bottom row = 1
2nd row = 5
Top row = 7
∴ 13 blocks needed
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | Flanno builds the shape below using identical small blocks.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX5-TLA-5-v2.svg 200 indent2 vpad
What is the smallest number of blocks Flanno needs to build a cube? |
| workedSolution | The smallest cube will be 3 × 3 × 3
Extra cubes needed (by row):
Bottom row = 1
2nd row = 5
Top row = 7
$\therefore$ 13 blocks needed |
| correctAnswer | |
Answers
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
Variant 2
DifficultyLevel
451
Question
Xavier builds the shape below using identical small blocks.
What is the smallest number of blocks Xavier needs to build a cube?
Worked Solution
The smallest cube will be 3 × 3 × 3
Extra cubes needed (by row):
Bottom row = 1
2nd row = 5
3rd row = 8
∴ Smallest number of blocks = 14
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | Xavier builds the shape below using identical small blocks.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-H2-10-v2.svg 200 indent2 vpad
What is the smallest number of blocks Xavier needs to build a cube? |
| workedSolution | The smallest cube will be 3 × 3 × 3
Extra cubes needed (by row):
Bottom row = 1
2nd row = 5
3rd row = 8
$\therefore$ Smallest number of blocks = {{{correctAnswer}}} |
| correctAnswer | |
Answers
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
Variant 3
DifficultyLevel
466
Question
This is a view of a solid made by stacking 24 identical cubes.
How many cubes are completely hidden in this view?
Worked Solution
Hidden cubes:
Bottom row = 6
2nd row = 3
3rd row = 1
∴ 10 cubes are completely hidden.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | This is a view of a solid made by stacking 24 identical cubes.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-H2-10-v1.svg 200 indent3 vpad
How many cubes are completely hidden in this view? |
| workedSolution | Hidden cubes:
Bottom row = 6
2nd row = 3
3rd row = 1
$\therefore$ {{{correctAnswer}}} cubes are completely hidden. |
| correctAnswer | |
Answers