Surface Area Applications

How much leather is needed to cover a basketball with a diameter of 14 inches?

• 615.44 in²

• 1932.48 in²

• 2461.76 in²

• 4308.08 in²

A teepee in the shape of a cone has a slant height of 18.5 feet and a diameter of 20 feet. Approximately how much canvas would be needed to cover the outside of the teepee?

• 89 sq ft

• 58 sq ft

• 116 sq ft

• 581 sq ft

A cube with a 5 cm edge length, find its total surface area.

• 150

• 134

• 167

• 155

A cube with a 3 cm side length, find its lateral surface area.

• 134

• 45

• 36

• 54

When trying to answer the question below, would it be more helpful to think about the surface area or the volume? How many yards of fabric are needed to sew a pillowcase?

• surface area

• volume

When trying to answer the question below, would it be more helpful to think about the surface area or the volume? How long would it take to paint the outside of my house?

• surface area

• volume

Identify each situation that would require the application of surface area.

• Painting the outside of a shoebox

• Filling the shoebox with candy

• Counting the number of cubes inside of a shoebox.

• Wrapping the shoebox in gift wrap

4

• 1

• 2

• 3

• 4

What is the surface area of a pyramid with a square base of side 6 cm and a slant height of 5 cm?