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Which statement correctly explains the difference between adding surface areas and adding volumes for a solid formed by joining two basic solids?
ABoth surface area and volume are always found by directly adding the totals of the two solids
BSurface area is always less than volume, so only volume is added
CSome surfaces disappear at the joint, so surface areas are not directly added, but volumes of the parts are added
DVolumes cannot be added because the solids overlap completely
Answer & Solution
Correct answer: C. Some surfaces disappear at the joint, so surface areas are not directly added, but volumes of the parts are added
When solids are joined, the touching faces become internal and are no longer exposed, so total surface area is not usually the direct sum of the separate total surface areas. But the amount of space occupied by the combined solid is the sum of the constituent volumes, provided the parts are joined without overlap of volume.
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