Mathematics ACT Aspire Practice Test

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What does "Units (in.³)" refer to in volume calculations?

The dimensions of the prism
The cubic measurement of space occupied
The surface area of the prism
The height of the prism alone

The correct answer is: The cubic measurement of space occupied

"Units (in.³)" refers to the cubic measurement of space occupied. This means that when calculating volume, the result is expressed in cubic inches, indicating how much three-dimensional space an object fills. Volume is a measure that takes into account the length, width, and height of an object, and when these dimensions are multiplied, the result is in cubic units. In this case, the unit "in.³" stands for cubic inches, showing that the volume describes the total space contained within the boundaries of a three-dimensional shape, such as a prism. The other options would not accurately define what the measurement of volume represents. Dimensions refer to the length, width, and height, but do not encompass the idea of space occupied. Surface area relates to the total area of the surfaces of a solid, which is different from volume. The height by itself does not encompass the total volume either, as volume calculations include all three dimensions. Therefore, the correct interpretation of "Units (in.³)" is that it signifies the cubic measurement of space occupied.