Samantha has a diagram of a triangular pyramid. The height of the triangular pyramid is 6 mm, and the area of the base is 24 mm.What is the volume of the pyramid in cubic millimeters?ResponsesA 48 mm³48 mm³B 72 mm³72 mm³C 144 mm³144 mm³D 86 mm³
Question
Samantha has a diagram of a triangular pyramid. The height of the triangular pyramid is 6 mm, and the area of the base is 24 mm.What is the volume of the pyramid in cubic millimeters?ResponsesA 48 mm³48 mm³B 72 mm³72 mm³C 144 mm³144 mm³D 86 mm³
Solution
The volume V of a pyramid is given by the formula V = 1/3 * base area * height.
In this case, the base area is 24 mm² and the height is 6 mm.
So, the volume V = 1/3 * 24 mm² * 6 mm = 48 mm³.
Therefore, the correct answer is A. 48 mm³.
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