Surface Area and Volume of Prisms and Cylinders

Front

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

Back

Volume = length × width × height

Front

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

Back

Surface Area = 2(length × width + length × height + width × height)

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × radius² × height

Front

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

Back

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

Front

What does 'prism' mean in geometry?

Back

A prism is a solid shape with two identical ends and flat sides.

Front

What is the difference between volume and surface area?

Back

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

Front

How do you calculate the volume of a cylinder?

Back

Use the formula: Volume = π × radius² × height.

Front

What is the unit of measurement for volume?

Back

Common units include cubic inches (in³), cubic centimeters (cm³), and liters (L).

Front

What is the unit of measurement for surface area?

Back

Common units include square inches (in²), square centimeters (cm²), and square meters (m²).

Front

If a rectangular prism has a length of 4 in, width of 3 in, and height of 5 in, what is its volume?

Back

Volume = 4 in × 3 in × 5 in = 60 in³.