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Which is different? Find "both" answers. How much does it take to fill the rectangular prism? What is the capacity of the rectangular prism? How much does it take to cover the rectangular prism?

Which is different? Find

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Full solution

Q. Which is different? Find
  1. Identify Questions: Identify what each question is asking.\newlineFilling the prism refers to its volume or capacity.\newlineCapacity is the same as volume, how much it can hold inside.\newlineCovering the prism refers to its surface area.\newlineSo, the different measurement is between volume (capacity) and surface area.
  2. Volume Formula: Find the formula for the volume of a rectangular prism.\newlineVolume = length×width×height\text{length} \times \text{width} \times \text{height}.
  3. Surface Area Formula: Find the formula for the surface area of a rectangular prism.\newlineSurface Area = 2(l×w)+2(l×h)+2(w×h)2(l \times w) + 2(l \times h) + 2(w \times h).
  4. Lack of Measurements: Realize we don't have the actual measurements of the prism. Without the dimensions, we can't calculate the exact volume or surface area. But we know the formulas are different, so the measurements for filling and covering are different.

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