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Question
1 which block, a cube, a cylinder, or a sphere will balance scale c? 2 list or draw the steps you followed to identify the block
1.
Step1: Observe scale A
On scale A, 2 cylinders + 1 sphere = 2 cubes + 1 sphere. Canceling out 1 sphere on both sides, we get 2 cylinders = 2 cubes, so 1 cylinder = 1 cube.
Step2: Observe scale B
On scale B, 1 cylinder + 1 sphere = 2 cubes. Substituting 1 cylinder = 1 cube, we get 1 cube+ 1 sphere = 2 cubes. Canceling out 1 cube, we find 1 sphere = 1 cube.
Step3: Observe scale C
On scale C, 1 block = 6 spheres. Since 1 sphere = 1 cube and 1 cylinder = 1 cube, the block is a sphere.
Step1: Analyze scale A
Compare weights of shapes to find cylinder - cube equivalence.
Step2: Analyze scale B
Use previous result to find sphere - cube equivalence.
Step3: Analyze scale C
Determine block type from sphere - block weight relation.
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The block is a sphere.
2.