The problem asks to find the volume of a triangular prism. The base of the prism is a triangle with base $6$ m and height $6$ m. The length of the prism is $10$ m.

Geometry3D GeometryVolumeTriangular PrismArea
2025/4/14

1. Problem Description

The problem asks to find the volume of a triangular prism. The base of the prism is a triangle with base 66 m and height 66 m. The length of the prism is 1010 m.

2. Solution Steps

The volume of a triangular prism is given by the formula:
Volume=Area_of_base×lengthVolume = Area\_of\_base \times length
The area of the triangular base is:
Area_of_base=12×base×height=12×6×6=362=18Area\_of\_base = \frac{1}{2} \times base \times height = \frac{1}{2} \times 6 \times 6 = \frac{36}{2} = 18 m2m^2
The length of the prism is 1010 m.
Volume=18×10=180Volume = 18 \times 10 = 180 m3m^3

3. Final Answer

The volume of the prism is 180 m3m^3.

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