Answers:
Row 1: 1 3
Row 2: 2 2
Each single digit gets its own box.
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Step-by-step explanation:
Each row of three values must multiply to 12. We see that happening with the first two cuboids.
Cuboid A: 1*1*12 = 12
Cuboid B: 1*2*6 = 12
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For cuboid C, we have two blank spaces multiplied with 4. Let's call these blank spaces x and y. We want to solve the equation x*y*4 = 12.
Divide both sides by 4 and you'll get x*y = 3
Since x and y are positive integers, this must mean either
x = 1 and y = 3
or
x = 3 and y = 1
Those are the only ways to multiply to 3 with two integers. But we can rule out the second case because the instructions say "Put the answers in order of size from left to right". Basically your teacher wants them sorted from smallest to largest. Refer to cuboid B for an example of what I mean.
So this means we have the values: 1, 3, 4 for cuboid C
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Cuboid D is a similar story
Let x and y be the blank spaces. We can see that x*y*3 = 12 which becomes x*y = 4 after dividing both sides by 3.
This time we have three ways to do this and they are
- x = 1 and y = 4
- x = 2 and y = 2
- x = 4 and y = 1
We can immediately rule out x = 4 and y = 1 because we need the answers sorted from smallest to largest.
We can also rule out x = 1 and y = 4 because the sequence 1,4,3 is not fully sorted from smallest to largest. Note how this is effectively a repeat of cuboid C (just in a different order).
The only thing left is x = 2 and y = 2
For cuboid D we have these dimensions: 2, 2, 3