Surface Area Triangular Prisms

Front

What is the formula to find the area of a triangle?

Back

Area = 1/2 (Base x Height)

Front

What is a triangular prism?

Back

A three-dimensional shape with two triangular bases and three rectangular faces.

Front

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

Back

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

Front

What is the base area of a triangle with a base of 10 cm and a height of 5 cm?

Back

Base Area = 1/2 (10 cm x 5 cm) = 25 cm²

Front

If a triangular prism has a height of 8 cm and a base area of 20 cm², what is the total surface area if the perimeter of the base is 30 cm?

Back

Total Surface Area = (20 cm² x 2) + (30 cm x 8 cm) = 40 cm² + 240 cm² = 280 cm²

Front

What is the perimeter of a triangle with sides of 5 cm, 6 cm, and 7 cm?

Back

Perimeter = 5 cm + 6 cm + 7 cm = 18 cm

Front

What is the total surface area of a triangular prism with a base area of 15 cm², height of 10 cm, and perimeter of 24 cm?

Back

Total Surface Area = (15 cm² x 2) + (24 cm x 10 cm) = 30 cm² + 240 cm² = 270 cm²

Front

What is the height of a triangle if the area is 30 cm² and the base is 6 cm?

Back

Height = (Area x 2) / Base = (30 cm² x 2) / 6 cm = 10 cm

Front

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

Back

Lateral Surface Area = Perimeter of Base x Height of Prism

Front

What is the surface area of a triangular prism with a base area of 12 in², height of 5 in, and perimeter of 18 in?

Back

Surface Area = (12 in² x 2) + (18 in x 5 in) = 24 in² + 90 in² = 114 in²