Surface Area

Front

What is Surface Area?

Back

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

Front

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

Back

Surface Area = 2(lw + lh + wh), where l = length, w = width, h = height.

Front

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

Back

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

Front

What is the total surface area of a cylinder?

Back

Total Surface Area = 2πr(h + r), where r = radius and h = height.

Front

What is the lateral surface area of a rectangular prism?

Back

Lateral Surface Area = 2h(l + w), where h = height, l = length, w = width.

Front

What is the surface area of a cube?

Back

Surface Area = 6a², where a = length of a side.

Front

How do you find the surface area of a sphere?

Back

Surface Area = 4πr², where r = radius.

Front

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

Back

Total Surface Area = πr(r + l), where r = radius and l = slant height.

Front

What is the difference between lateral surface area and total surface area?

Back

Lateral surface area excludes the area of the bases, while total surface area includes the bases.

Front

If a rectangular prism has dimensions 10 cm, 5 cm, and 2 cm, what is its surface area?

Back

Surface Area = 2(10*5 + 10*2 + 5*2) = 2(50 + 20 + 10) = 2(80) = 160 cm².