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Which could be the area of one lateral face of the triangular prism? A triangular prism. The rectangular sides are 8 feet by 2. 5 feet, 8 feet by 6 feet, and 8 feet by 6. 5 feet. The triangular sides have a base of 2. 5 feet and height of 6 feet. [Not drawn to scale] 7. 5 ft2 15 ft2 20 ft2 39 ft2.

Sagot :

The area of one lateral face of the triangular prism could be 20 ft².

What is a prism?

a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first base, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Since the base of the prism is triangular so there will be three lateral faces.

Dimensions of rectangular lateral faces are:

1)8 feet by 2.5 feet

2)8 feet by 6 feet

3) 8 feet by 6. 5 feet

Area of the lateral face with dimension 8 feet by 2.5 feet = 8*2.5 =20 ft²

Area of the lateral face with dimension 8 feet by 6 feet = 8*6 =48 ft²

Area of the lateral face with dimension 8 feet by 6.5 feet = 8*6.5 =51 ft²

Therefore, the area of one lateral face of the triangular prism could be 20 ft².

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