Surface Area of Prisms, Pyramids, and Cylinders

Front

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

Back

Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

What is the formula for the surface area of a square pyramid?

Back

Surface Area = (Base Area) + (1/2 * Perimeter of Base * Slant Height).

Front

What is the total surface area of a prism?

Back

Total Surface Area = 2 * Base Area + Lateral Surface Area.

Front

How do you calculate the lateral surface area of a cylinder?

Back

Lateral Surface Area = 2πrh, where r is the radius and h is the height.

Front

What is the surface area of a rectangular prism with dimensions 4 cm, 5 cm, and 6 cm?

Back

Surface Area = 2(4*5 + 5*6 + 6*4) = 2(20 + 30 + 24) = 2(74) = 148 cm².

Front

What is the surface area of a cylinder with a radius of 3 cm and height of 5 cm?

Back

Surface Area = 2π(3)(5 + 3) = 2π(3)(8) = 48π ≈ 150.8 cm².

Front

What is the difference between surface area and volume?

Back

Surface area measures the total area of the surface of a 3D object, while volume measures the amount of space inside the object.

Front

What is the surface area of a cube with side length 2 m?

Back

Surface Area = 6 * (side length)² = 6 * (2)² = 24 m².

Front

How do you find the surface area of a triangular prism?

Back

Surface Area = (Base Area) + (Lateral Area), where Lateral Area = Perimeter of Base * Height.

Front

What is the surface area of a cone with a radius of 4 cm and height of 9 cm?

Back

Surface Area = πr(r + l), where l is the slant height. First, find l using Pythagorean theorem: l = √(r² + h²) = √(4² + 9²) = √(16 + 81) = √97. Then, Surface Area ≈ 3.14 * 4 * (4 + 9) ≈ 3.14 * 4 * 13 ≈ 163.76 cm².