Question

what is the volume of this triangular pyramid?
6.4 mm
10 mm
5.1 mm
cubic millimeters
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Explanation:

Step1: Find base area

The base is a triangle: $Area = \frac{1}{2} \times base \times height = \frac{1}{2} \times 10 \times 5.1 = 25.5$ mm²

Step2: Calculate pyramid volume

Volume formula: $V = \frac{1}{3} \times base\ area \times height = \frac{1}{3} \times 25.5 \times 6.4$

Step3: Compute final value

$V = \frac{25.5 \times 6.4}{3} = \frac{163.2}{3} = 54.4$

Answer:

54.4 cubic millimeters