PLEASE HURRY! 25 POINTS! What is the volume of the triangular pyramid shown, in cubic units?
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Answer: Volume = 256 units³
Step-by-step explanation:
The formula for determining the volume of a triangular pyramid is expressed as
Volume = 1/3 × base area of the triangular face × height of the pyramid
Base area of the triangular face = 1/2 × base of triangular face × height of triangular face
From the diagram,
base of triangular face = 8 units
height of triangular face = 12 units
Base area of the triangular face = 1/2 × 8 × 12 = 48 units²
Height of pyramid = 16 units
Volume = 1/3 × 48 × 16 = 256 units³