Triangular Prism - Lateral Surface Area

Front

What is a triangular prism?

Back

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

Front

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

Back

Lateral Surface Area = Perimeter of the base × Height of the prism.

Front

What is the formula for the perimeter of a triangle?

Back

Perimeter = Sum of the lengths of all three sides.

Front

If the base of a triangular prism has sides of lengths 5 cm, 12 cm, and 13 cm, what is the perimeter?

Back

Perimeter = 5 cm + 12 cm + 13 cm = 30 cm.

Front

What is the height of a prism?

Back

The perpendicular distance between the two bases of the prism.

Front

If a triangular prism has a height of 10 cm and a perimeter of 30 cm, what is the lateral surface area?

Back

Lateral Surface Area = 30 cm × 10 cm = 300 cm².

Front

What units are used for measuring surface area?

Back

Square units, such as cm², m², in², ft².

Front

What is the lateral surface area of a triangular prism with a height of 5 m and a perimeter of 12 m?

Back

Lateral Surface Area = 12 m × 5 m = 60 m².

Front

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

Back

Lateral surface area includes only the sides, while total surface area includes the bases as well.

Front

If the lateral surface area of a triangular prism is 144 ft² and the height is 12 ft, what is the perimeter?

Back

Perimeter = Lateral Surface Area ÷ Height = 144 ft² ÷ 12 ft = 12 ft.