Surface Area of Triangular Prisms

Front

What is the formula for the surface area of a triangular prism?

Back

Surface Area = (Base Area x 2) + (Perimeter of Base x Height)

Front

What is surface area?

Back

The sum of all the areas of all the shapes that cover the object.

Front

How do you calculate the area of a triangle?

Back

Area = 1/2 x base x height.

Front

What is the lateral surface area of a prism?

Back

The sum of the areas of the lateral faces (excluding the bases).

Front

If the base of a triangular prism is 5 ft and the height is 12 ft, what is the area of the base?

Back

Area = 1/2 x 5 ft x 12 ft = 30 ft².

Front

What is the perimeter of a triangle with sides 3 cm, 4 cm, and 5 cm?

Back

Perimeter = 3 cm + 4 cm + 5 cm = 12 cm.

Front

How do you find the total surface area of a triangular prism with a base area of 20 cm², a height of 10 cm, and a perimeter of 18 cm?

Back

Total Surface Area = (20 cm² x 2) + (18 cm x 10 cm) = 40 cm² + 180 cm² = 220 cm².

Front

What is the unit of measurement for surface area?

Back

Square units (e.g., square feet, square meters, square inches).

Front

If a triangular prism has a height of 8 cm and a base area of 15 cm², what is the lateral surface area if the perimeter of the base is 24 cm?

Back

Lateral Surface Area = Perimeter x Height = 24 cm x 8 cm = 192 cm².

Front

What is the total surface area of a triangular prism with a base area of 10 m², a height of 5 m, and a perimeter of 30 m?

Back

Total Surface Area = (10 m² x 2) + (30 m x 5 m) = 20 m² + 150 m² = 170 m².