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Answer:
b. 82m³
Step-by-step explanation:
[tex]V = \frac{1}{3}(\frac{1}{2} bh_1)h_2\\b = 8.2m\\h_1 = 4m\\h_2 = 15m\\\\V = \frac{1}{3}(\frac{1}{2}(8.2)(4))(15)\\V = 82m^{3}\\[/tex]
Answer:
B, 82 meters cubed
Step-by-step explanation:
The formula for volume of a triangular pyramid is 1/3Ah, where A = the area of the triangular base, and h = the height of the pyramid.
The area of the base here is 1/2 base x height, so:
1/2 x 8.2 x 4 = 1/2 (32.8) = 16.4 meters squared.
Plug this into the formula for the volume of the pyramid:
1/3 x 16.4 meters squares x 15 meters = 82 meters cubed