Mathematics ACT Aspire Practice Test

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Study for the Mathematics ACT Aspire Test. Use flashcards, multiple choice questions, and detailed explanations. Get prepared for your exam!

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What is the volume formula for a cube?

v = side^2
v = 6s
v = S^3
v = base × height

The correct answer is: v = S^3

The volume formula for a cube is indeed represented as $ V = s^3 $, where $ s $ stands for the length of a side of the cube. This representation arises from the fact that a cube has three dimensions—length, width, and height—all of which are equal in a cube. Thus, to calculate the volume, you multiply the length of one side by itself three times, which is expressed mathematically as $ s \times s \times s $, resulting in $ s^3 $. The option that mentions the square of the side, $ side^2 $, represents the area of one face of the cube, not the volume. Another choice calculates the total surface area of the cube, which involves multiplying the length of a side by 6 because a cube has six faces. Lastly, the interpretation of base times height applies to a rectangular prism or other three-dimensional shapes but does not accurately describe the volume of a cube specifically. Hence, the formula for the volume of a cube remains $ V = s^3 $.