Surface Area Prisms

Front

What does the variable 'B' represent in the surface area formula 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 prism?

Back

The lateral surface area can be calculated using the formula Ph, where P is the perimeter of the base and h is the height of the prism.

Front

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

Back

The total surface area of a prism is given by the formula: Total Surface Area = Ph + 2B.

Front

Why do we multiply the area of the base (B) by 2 in the surface area formula?

Back

We multiply B by 2 because a prism has two bases.

Front

What is the lateral surface area of a prism with a height of 10 ft and a perimeter of 20 ft?

Back

The lateral surface area is calculated as Ph = 20 ft * 10 ft = 200 ft².

Front

If the area of the base of a prism is 30 square feet, what is the contribution of the bases to the total surface area?

Back

The contribution of the bases to the total surface area is 2B = 2 * 30 ft² = 60 ft².

Front

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

Back

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

Front

How do you find the perimeter of a base for a rectangular prism?

Back

For a rectangular prism, the perimeter P is calculated as P = 2(length + width).

Front

What is the lateral surface area of a prism with a height of 15 units and a perimeter of 25 units?

Back

The lateral surface area is Ph = 25 units * 15 units = 375 units².

Front

If a prism has a total surface area of 200 square feet and the lateral surface area is 120 square feet, what is the area of the bases?

Back

The area of the bases is calculated as Total Surface Area - Lateral Surface Area = 200 ft² - 120 ft² = 80 ft².