Surface Area of Triangular Prisms with Nets

Front

What is the surface area of a triangular prism?

Back

The surface area of a triangular prism is the total area of all its faces, which includes the two triangular bases and the three rectangular lateral faces.

Front

How do you calculate the surface area of a triangular prism?

Back

To calculate the surface area, use the formula: Surface Area = (Base Area x 2) + (Perimeter of Base x Height of Prism).

Front

What is a net of a triangular prism?

Back

A net of a triangular prism is a two-dimensional representation that shows all the faces of the prism laid out flat.

Front

What shapes make up the net of a triangular prism?

Back

The net of a triangular prism consists of two triangles (the bases) and three rectangles (the lateral faces).

Front

If the base of a triangular prism is a triangle with a base of 5 cm and a height of 4 cm, what is the area of the base?

Back

The area of the base triangle is 10 cm² (Area = 1/2 x base x height = 1/2 x 5 cm x 4 cm).

Front

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

Back

The perimeter of the triangle is 12 cm (Perimeter = side1 + side2 + side3 = 3 cm + 4 cm + 5 cm).

Front

How do you find the lateral surface area of a triangular prism?

Back

The lateral surface area can be found by multiplying the perimeter of the base triangle by the height of the prism.

Front

What is 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 = (Base Area x 2) + (Perimeter x Height) = (20 cm² x 2) + (18 cm x 10 cm) = 40 cm² + 180 cm² = 220 cm².

Front

What is the formula for the area of a triangle?

Back

The formula for the area of a triangle is Area = 1/2 x base x height.

Front

If a triangular prism has a height of 12 cm and a base area of 15 cm², what is the total surface area if the perimeter of the base is 24 cm?

Back

Total Surface Area = (Base Area x 2) + (Perimeter x Height) = (15 cm² x 2) + (24 cm x 12 cm) = 30 cm² + 288 cm² = 318 cm².