Surface Area and Volume of Prisms & Cylinders

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area × Height

Front

How do you calculate 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 definition of a prism?

Back

A solid shape with two parallel, congruent bases connected by rectangular faces.

Front

How many faces does a triangular prism have?

Back

5 faces (2 triangular bases and 3 rectangular faces).

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h where r is the radius and h is the height.

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 space inside the object.

Front

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

Back

Volume = 4 cm × 3 cm × 5 cm = 60 cm³.

Front

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

Back

Surface Area = 6 × (side length)² = 6 × (2 cm)² = 24 cm².

Front

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

Back

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

Front

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

Back

Base Area = (1/2) × base × height of the triangle.