Drag each expression to show whether it can be used to find the volume, surface area, or neither.
2(12 · 6)
8(12 · 6)
2(12 · 6 + 12 · 8 + 6 + 8)
2 · 12 · 6 + 2 · 12 · 8 + 2 · 6 · 8
12 · 6 · 8
Drag each expression to show whether it can be used to find the volume, surface area, or neither. 2(12 · 6) 8(12 · 6) 2(12 · 6 + 12 · 8 + 6 + 8) 2 · 12 · 6 + 2 · 12 · 8 + 2 · 6 · 8 12 · 6 · 8
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Sure! Let’s classify each expression and explain why:
1. 2(12 · 6) – Neither. This expression does not represent volume or surface area directly.
2. 8(12 · 6) – Neither. Similar to the first, this expression also does not clearly correspond to volume or surface area.
3. 2(12 · 6 + 12 · 8 + 6 + 8) – Surface Area. This expression suggests a formula for surface area, likely of a rectangular prism, as it adds lengths and widths together, then multiplies by 2.
4. 2 · 12 · 6 + 2 · 12 · 8 + 2 · 6 · 8 – Surface Area. This expression includes the areas of different faces of a rectangular prism, calculated and summed, which gives the total surface area.
5. 12 · 6 · 8 – Volume. This expression multiplies the length, width, and height of a rectangular prism, thus representing its volume.
In summary:
– Surface Area: 3 and 4
– Volume: 5
– Neither: 1 and 2
I hope this helps! If you have further questions or need more assistance, feel free to ask!