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What is the volume in cubic meters of the triangular pyramid shown below?

3 m
6.6 m
=]
8 m
6.1

User Daehee
by
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1 Answer

4 votes

Answer:

To find the volume of a triangular pyramid, we use the formula:

Volume = (1/3) * Base Area * Height

In this case, we have a triangular pyramid with a base that is a triangle with sides of 3 m, 6.6 m, and 8 m. To find the area of this triangle, we can use Heron's formula:

s = (a + b + c) / 2

Area = sqrt(s(s-a)(s-b)(s-c))

where s is the semiperimeter of the triangle.

Using these formulas, we can calculate the volume as follows:

s = (3 + 6.6 + 8) / 2 = 8.8

Area = sqrt(8.8(8.8-3)(8.8-6.6)(8.8-8)) = 12.72 m^2

Height = 6.1 m

Volume = (1/3) * 12.72 * 6.1 = 25.96 cubic meters

Therefore, the volume of the triangular pyramid is approximately 25.96 cubic meters.

User Dreamflasher
by
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