Measurement, NAPX-p116876v03
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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
U2FsdGVkX18Jx8MzyYtL9uxqwny0g5zClXu/4WAFBPA2F+5YIAKoQvlyoI/pZf9Yvbx1rQtB0fKMMIY8fXGokWcG7jru7IC2MRTHoIOj+lHBJvgfOBcoE97KFiedx7ixAy1N8bdZxqKRkOEH0b6WbrQIpeWwoAI2/4QzQjpbnd/giWeCW5m4Z0JKEL6Tz3JrHhgCS8PptGjqS5yOEDXlvW9TenCT7b9bINd+LKMVwXpRNms+rf1ASX6gU1ZACcvnP2JErKPSJ3PLKvR+aA/JrIB3hRQ1b4NGsv1nFVz68KssWJ5BscC8sUzN8HrO61+4iUG0k6WTxc0QOepdFmtnxEvNXSZkGqacyeTlBil240im1ExYg9qRj+Lf1AeUzxVo7pbOhkG6M/lJ/lKqxRBEzlRyqXBEwseMPqu4GRHpxGo710Mf4H7nhfi61Vb6EffgFSCTEP0q/rsYmq9qewKx87rtn/cPm9NN5DtEWZFzFkk1k3VlaRe3nFvH4CK1ZypjnmdfyIYC9pWsEx9+rd2Pse0SfnxT/SGRqicZvMvVybBP6d7zXpx6tEhkU9ByUvyzIt+RfudQc2JeVR0ZQX0LF0EwR3HCBlNQvXP6HSMCOpVMYlEHe4VZLsVTti4qlVcGyXex9Kyj+Y+LQL7HUzk6AfCO21YiFNIwaMznmctvGehEso58bJ2QCSZ7VTOsApgVa+lMsqqxnkPnAeyPcoc73Yejg7da8pVOmkyag/dxoF6W/D/oOc5BVXCFCIXSREtsQ1g/hcAwpGg2ZtDka0NwA/TuihSlyFocGIoe5Pa8j2L4rhp9aGzA0hI5FCGHa6fQ2E0OHTU64GzhNQoofsfC7DBwyq/gGVcb3ENHJ2Wn1VRW60G/HkpKzl0t81RYf2POyudgpxFMg2fCuaosiI7IJuzoQFgxAMO9JbFr4kbaZsaNQSI2rAu+v58aVk05DTYQe4GT0WljYDi7MMNOGJAoyhplXxNBwX+sZFK5eBRAES3EDwa7Fc8CM43BlPZlebfLjVtes3tXg9nVK1f8z/m4QCWv5HHtQ/ZLSMaXGopLh1vxmCIp8b39wuegVa4s1bxCxuWoU+kgjU3OllyNkDgM0hFQoTE2Zx+1wvYRaXPO61ZPV5LUaGTbgu/0ReYPdTPrhbN85WtBP2N6DtKrybLujbwgVgCmQiQqsiasW5nNSPmoogC15ZH8haAaWKMUhqSsQeukd0+EFMvSDaAbbrsHyvyAxsPywhDCciOFJpdvGonwGM3vkFEE3/7Fqb0IbweMC4V/nG6HH16lV64nlTTo3Amp0mQizn+dFyzM9j6ECMPsaF6IRwio+SyharBU4Kt6CNUUGMUTrMovjyN22UvxoCwctzQrgmXuQ/ZTt8kdYnazm4VJ4mFWq6h9ANkHhfgBHlUZtv0krGAUfxPi3zTEdjEgmXguNj4/kp0T8V3yB3Ro3QFMy0D/ZgP4+uKqXL4rRO8MitIe0wsHOYVKObmQu8vtvfAi6u1AHvdiwJhu9CbC4Hi7j9vzhyD10L6xNdDg/SE9HwWh28ROxaeIS+SsICHLsgtJwbPGdvMYRreuiekyWSwXiciXeYTFnCyJjpMnNiE1wLOj9LMQeDuaiNTiTJ6W5XPA7gAFwAsVIMv1gZDElCwqVlqv8NEJ00gQkve/PWTToAQSb+P4nKE3X6TGzVq6ZH326mcfXK/2KtaG1wDQgKveQbivI3pzraiSqjq0JNOQ0zY7uacOp4DmmgZcJSZ8+az7qoyHGO0mYQoLo5+teNZZqhvLGIb0nyu+wxAK0ZWCx3kL2u2C92djmg8UbAWjH1cSYZO8ZoxGe4/mxyykjz/mLJvEWtgRkYhknvjwfZqT2wtZ9BcVsTOMvJBerVyOHba1Jt3EZBWHnfNSWxHlp8z1rZTzlkcJ98yU/boq5PLRNThFYUoklLzal7n4inV3z1lNebdbGskIS4e1ii+mF2EzUKIdxeTTSMDY+8P5JlT8ajiWQKZR7EDXcJd3Fy3n4rUO7jLnhR5DLvMpV2/uSlM9lPzIAwGek4vHd3Tmt4rFhsir1+vdY5wt8heeWEquZumvcY/Du3uul3oa48ACSTDoCzeZtVjzhZiKFABRWrVQApQv0pM76RhtcQRMV8vE+3usi4Afl7TZ583GkxS94yfhqH1Yao5jdbxuuVMWGbiBKUpFNI4wASlt7QRK95JMrTdWUCCjF049O0w6fOZT6IRBPPwIB8c3zHAdQLB1vlpSdlk6tFzwzI8ILzAIqwC+0e9GYZb/F6qFPFmLtSg=
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