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 the lateral surface area of a prism?

Back

The lateral surface area is the sum of the areas of all the sides of the prism, excluding the bases.

Front

How do you calculate the area of a triangle?

Back

Area = 1/2 (Base x Height)

Front

What is the perimeter of a triangle?

Back

The perimeter is the sum of the lengths of all three sides of the triangle.

Front

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

Back

Area = 1/2 (10 cm x 5 cm) = 25 cm²

Front

What is the total surface area of a triangular prism with a base area of 30 cm², a height of 10 cm, and a perimeter of 24 cm?

Back

Surface Area = (30 cm² x 2) + (24 cm x 10 cm) = 60 cm² + 240 cm² = 300 cm²

Front

What units are used to measure surface area?

Back

Square units (e.g., cm², m², in²) are used to measure surface area.

Front

What is the difference between total surface area and lateral surface area?

Back

Total surface area includes the area of the bases, while lateral surface area only includes the area of the sides.

Front

If a triangular prism has a lateral surface area of 480 cm², what does this represent?

Back

It represents the total area of the three rectangular sides of the prism.

Front

How do you find the height of a triangular prism if you know the volume and base area?

Back

Height = Volume / Base Area.