Surface Area of Triangular Prisms 7A

Front

What is the formula for the total surface area of a triangular prism?

Back

SA = Ph + 2B, where P is the perimeter of the base and B is the area of the base.

Front

What does 'P' represent in the surface area formula SA = Ph + 2B?

Back

P represents the perimeter of the base of the prism.

Front

What does 'h' represent in the surface area formula SA = Ph + 2B?

Back

h represents the height of the prism.

Front

What does 'B' stand for in the formula SA = Ph + 2B?

Back

B stands for the area of the base of the prism.

Front

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

Back

Lateral Area = Ph, where P is the perimeter of the base and h is the height of the prism.

Front

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

Back

Lateral Area = Ph = 30 cm * 10 cm = 300 cm².

Front

What is the total surface area of a triangular prism with a lateral area of 300 cm² and a base area of 50 cm²?

Back

Total Surface Area = Lateral Area + 2B = 300 cm² + 2(50 cm²) = 400 cm².

Front

What is the lateral area of a triangular prism with a perimeter of 20 units and a height of 15 units?

Back

Lateral Area = Ph = 20 units * 15 units = 300 units².

Front

If a triangular prism has a base area of 40 cm² and a height of 12 cm, what is the total surface area if the perimeter is 24 cm?

Back

Total Surface Area = Ph + 2B = (24 cm * 12 cm) + 2(40 cm²) = 288 cm² + 80 cm² = 368 cm².

Front

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

Back

Lateral area only includes the sides of the prism, while total surface area includes the sides and the areas of the two bases.