Surface Area of Prisms

Front

What is surface area?

Back

The sum of all the areas of all the shapes that cover the surface of the object.

Front

What is a prism?

Back

A solid shape with two identical ends and flat sides.

Front

How do you calculate the surface area of a rectangular prism?

Back

Add the areas of all six rectangular faces.

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 does 'π' represent in geometry?

Back

The ratio of the circumference of a circle to its diameter, approximately 3.14.

Front

What is the surface area of a cube with side length 4 inches?

Back

Surface Area = 6 * (side length)^2 = 6 * 4^2 = 96 in².

Front

What is the total 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 cm², approximately 150.8 cm².

Front

How do you find the area of a rectangle?

Back

Area = length × width.

Front

What is the surface area of a sphere?

Back

Surface Area = 4πr², where r is the radius.

Front

If a rectangular prism has dimensions 2 cm, 3 cm, and 4 cm, what is its surface area?

Back

Surface Area = 2(2*3 + 2*4 + 3*4) = 2(6 + 8 + 12) = 52 cm².