Paint Coverage: Lateral Surface Area Challenges for 7th Graders

A cylindrical water tank has a radius of 3 feet and a height of 5 feet. If you want to paint the lateral surface area of the tank, how much paint will you need if one gallon covers 100 square feet?

• Three gallons

• Two gallons

• Less than one gallon

• One gallon

A rectangular prism-shaped shed has a length of 10 feet, a width of 6 feet, and a height of 8 feet. Calculate the lateral surface area that needs to be painted. If one can of paint covers 120 square feet, how many cans will you need?

• 3

• 4

• 5

• 2

Tags

CCSS.7.G.B.6

A cone-shaped tent has a base radius of 4 feet and a height of 6 feet. What is the lateral surface area of the tent? If you plan to paint it and one gallon of paint covers 150 square feet, how much paint will you need?

• 8π√13 square feet, approximately 0.56 gallons of paint needed.

• 10π√10 square feet, approximately 0.75 gallons of paint needed.

• 16π square feet, approximately 1.07 gallons of paint needed.

• 12π square feet, approximately 0.08 gallons of paint needed.

A square prism has a base side length of 4 meters and a height of 10 meters. Find the lateral surface area that needs painting. If each liter of paint covers 10 square meters, how many liters will you need?

• 20 liters

• 12 liters

• 16 liters

• 8 liters

Tags

CCSS.7.G.B.6

A cylindrical storage container has a diameter of 2 meters and a height of 3 meters. Calculate the lateral surface area to be painted. If one gallon of paint covers 80 square meters, how many gallons do you need?

• 3 gallons

• 1 gallon

• 0.5 gallons

• 2 gallons

A rectangular box has dimensions of 5 feet by 3 feet by 4 feet. What is the lateral surface area that needs to be painted? If one can of paint covers 100 square feet, how many cans will you need?

• 1 can

• 2 cans

• 3 cans

• 5 cans

Tags

CCSS.6.G.A.4

A water tower is in the shape of a cylinder with a height of 15 feet and a radius of 5 feet. Calculate the lateral surface area to be painted. If one gallon of paint covers 200 square feet, how many gallons will you need?

• 2 gallons

• 5 gallons

• 3 gallons

• 4 gallons

A prism-shaped classroom has a length of 12 meters, a width of 8 meters, and a height of 5 meters. What is the lateral surface area that needs painting? If one liter of paint covers 12 square meters, how many liters will you need?

• 10 liters

• 17 liters

• 15 liters

• 25 liters

Tags

CCSS.7.G.B.6

A silo is shaped like a cylinder with a height of 20 feet and a radius of 6 feet. Find the lateral surface area that needs to be painted. If one gallon of paint covers 150 square feet, how many gallons will you need?

• 8 gallons

• 10 gallons

• 4 gallons

• 6 gallons

A rectangular swimming pool has a length of 10 meters, a width of 4 meters, and a height of 1.5 meters. Calculate the lateral surface area that needs to be painted. If one can of paint covers 50 square meters, how many cans will you need?

• 3

• 0

• 2

• 1

Tags

CCSS.7.G.B.6