Surface Area and Volume of Rectangular Prisms and Cylinders

Front

What is surface area?

Back

Surface area is the total area that the surface of a three-dimensional shape occupies. It is like wrapping the outside of a 3-dimensional shape.

Front

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

Back

The radius is half of the diameter.

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

What is the formula for the volume of a cylinder?

Back

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

Front

What is the total surface area of a rectangular prism?

Back

Total surface area = 2(lw + lh + wh), where l is length, w is width, and h is height.

Front

If a cylinder has a radius of 3 inches and a height of 5 inches, what is its volume?

Back

V = π(3²)(5) = 45π in³, approximately 141.37 in³.

Front

What units are used to measure volume?

Back

Volume is measured in cubic units, such as cubic inches (in³), cubic centimeters (cm³), or liters.

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

If a rectangular prism has a length of 10 cm, width of 4 cm, and height of 2 cm, what is its volume?

Back

Volume = 10 × 4 × 2 = 80 cm³.

Front

What is the difference between volume and surface area?

Back

Volume measures the space inside a 3D shape, while surface area measures the total area of the shape's outer surface.