10.6A/B Regular Surface Area

Front

What is surface area?

Back

The total area of the surface of a three-dimensional object.

Front

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

Back

S = 2πrh + 2πr²

Front

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

Back

S = Ph + 2B, where P is the perimeter of the base, h is the height, and B is the area of the base.

Front

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

Back

Calculate the area of all six faces and sum them up.

Front

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

Back

S = 6s² = 6(4)² = 96 in².

Front

What is the surface area of a sphere?

Back

S = 4πr², where r is the radius.

Front

What is the surface area of a cone?

Back

S = πr(l + r), where l is the slant height.

Front

If a cylinder has a radius of 3 in and a height of 5 in, what is its surface area?

Back

S = 2π(3)(5) + 2π(3)² = 60π + 18π = 78π in².

Front

What is the slant height of a cone?

Back

The distance from the base to the apex along the side of the cone.

Front

How do you round to the nearest hundredth?

Back

Look at the third decimal place; if it's 5 or more, round up the second decimal place.