Surface Area of Prisms and Cylinders Concept Check

Front

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

Back

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

Front

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

Back

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

Front

How do you calculate the surface area of a cube?

Back

SA = 6s², where s is the length of a side.

Front

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

Back

P stands for the Perimeter of the Base.

Front

Find the total surface area of a prism with a base area of 50 square feet, perimeter of the base 30 feet, and height of 10 feet.

Back

SA = 2(50) + (30)(10) = 100 + 300 = 400 square feet.

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 = 100π + 50π = 150π ≈ 471.24 square centimeters.

Front

What is the surface area of a cube with a side length of 12 m?

Back

SA = 6(12)² = 6(144) = 864 m².

Front

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

Back

Diameter = 2 × Radius.

Front

If the radius of a cylinder is doubled, how does the surface area change?

Back

The surface area increases by a factor of 4.

Front

What is the volume formula for a cylinder?

Back

V = πr²h, where r is the radius and h is the height.