Lesson 14B Surface Area of prisms and cylinders

Front

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

Back

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

Front

What does 'SA' stand for in the context of geometry?

Back

SA stands for Surface Area.

Front

What is the formula for the surface area of a cylinder?

Back

SA = 2πrh + 2πr², where r is the radius and h is the height.

Front

What does 'P' represent in the surface area formulas?

Back

P represents the Perimeter of the Base.

Front

How do you find the area of a circle?

Back

A = πr², where r is the radius.

Front

What is the relationship between the radius and diameter of a circle?

Back

The radius is one-half of the diameter.

Front

If the height of a cylinder is doubled, how does that affect the surface area?

Back

The surface area will also double, since height is a factor in the surface area formula.

Front

What is the surface area of a cylinder with a radius of 5 cm and a height of 10 cm?

Back

SA = 2π(5)(10) + 2π(5)² = 314.16 cm².

Front

What is the significance of the base area (B) in the surface area formula?

Back

B represents the area of the base, which is crucial for calculating the total surface area of prisms.

Front

How do you calculate the perimeter of a rectangle?

Back

P = 2(l + w), where l is the length and w is the width.