Mathematics ACT Aspire Practice Test

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Study for the Mathematics ACT Aspire Test. Use flashcards and multiple-choice questions with hints and explanations to boost your exam readiness. Ace your math test effortlessly!

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What is the formula for the volume of a triangular prism?

v = 2 × base × height
v = base × height × length/3
v = (base × height/2) × length
v = base × height

The correct answer is: v = (base × height/2) × length

The volume of a triangular prism can be derived from the general formula for the volume of a prism, which is the area of the base multiplied by the height (or length) of the prism. In the case of a triangular prism, the base of the prism is a triangle. To find the volume, you first need to determine the area of the triangular base. The area of a triangle is calculated using the formula: Area = (base × height) / 2. Once you have the area of the triangle, you then multiply this area by the length of the prism to find the total volume. This gives you the full formula for the volume of a triangular prism: Volume = Area of triangle × Length Volume = [(base × height) / 2] × length. This simplifies to: Volume = (base × height / 2) × length. Thus, this formula clearly represents the correct method for calculating the volume of a triangular prism. The other options do not accurately reflect the relationship between the base, height, and length needed to compute the volume of a triangular prism.