Surface area of triangular prism

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) + Lateral Area.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 x base x height.

Front

What is lateral area in the context of a prism?

Back

The sum of the areas of the lateral faces (the faces that are not the bases).

Front

If the base of a triangular prism is 10 cm and the height is 5 cm, what is the area of the base?

Back

Area = 1/2 x 10 cm x 5 cm = 25 cm².

Front

What is the total surface area of a prism with a base area of 30 cm² and a lateral area of 60 cm²?

Back

Total Surface Area = (Base Area x 2) + Lateral Area = (30 cm² x 2) + 60 cm² = 120 cm².

Front

What units are used to measure surface area?

Back

Square units (e.g., cm², m², in²).

Front

What is the lateral area of a triangular prism with a height of 12 cm and a perimeter of the base of 24 cm?

Back

Lateral Area = Perimeter x Height = 24 cm x 12 cm = 288 cm².

Front

If a triangular prism has a total surface area of 200 cm² and a base area of 50 cm², what is the lateral area?

Back

Lateral Area = Total Surface Area - (Base Area x 2) = 200 cm² - (50 cm² x 2) = 100 cm².

Front

What is the relationship between the lateral area and the total surface area of a prism?

Back

Total Surface Area = Lateral Area + (Base Area x 2).