Surface Area and Volume of Rectangular Prisms and Cylinders

Front

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

Back

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

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

What is the total surface area of a rectangular prism?

Back

SA = 2lw + 2lh + 2wh, where l is length, w is width, and h is height.

Front

How do you calculate the surface area of a cylinder?

Back

Add the area of the two circular bases (2πr²) to the area of the side (2πrh).

Front

If a cylinder has a radius of 5 inches and a height of 10 inches, what is its volume?

Back

Volume = πr²h = π(5²)(10) = 250π in³.

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 units are used for measuring surface area?

Back

Square units (e.g., cm², in²).

Front

What units are used for measuring volume?

Back

Cubic units (e.g., cm³, in³).

Front

If a rectangular prism has dimensions 4 cm, 5 cm, and 6 cm, what is its surface area?

Back

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

Front

What is the surface area of a cylinder with a radius of 3 cm and a height of 7 cm?

Back

SA = 2π(3²) + 2π(3)(7) = 18π + 42π = 60π cm².