Lateral Surface Area and Unit Conversion Challenges

A painter needs to paint the lateral surface area of a cylindrical water tank that has a radius of 3 meters and a height of 5 meters. If the paint covers 10 square meters per liter, how many liters of paint will the painter need?

• 10 liters

• 20 liters

• 5 liters

• 15 liters

A rectangular prism-shaped storage box has a length of 4 feet, a width of 3 feet, and a height of 2 feet. If the painter charges $15 per square foot to paint the lateral surface area, how much will it cost to paint the box?

• $420

• $600

• $180

• $300

Tags

CCSS.7.G.B.6

A cylindrical column has a diameter of 2.5 meters and a height of 6 meters. Convert the diameter to centimeters and calculate the lateral surface area that needs to be painted. How many liters of paint are required if one liter covers 12 square meters?

• 4 liters

• 8 liters

• 6 liters

• 2 liters

A room has a height of 3 meters and a perimeter of 20 meters. If the walls are to be painted and the paint costs $25 per square meter, what will be the total cost to paint the lateral surface area of the room?

• $2000

• $750

• $1000

• $1500

Tags

CCSS.7.G.B.6

A water tank is in the shape of a cube with a side length of 1.5 meters. Calculate the lateral surface area that needs to be painted and convert your answer to square centimeters. How many liters of paint are needed if one liter covers 8 square meters?

• 500 liters

• 2250 liters

• 11250 liters

• 9000 liters

Tags

CCSS.6.G.A.4

A cylindrical vase has a height of 10 inches and a radius of 4 inches. If the painter charges $2 per square inch to paint the lateral surface area, how much will it cost to paint the vase?

• $600.75

• $300.00

• $502.40

• $450.50

A rectangular prism has a length of 5 meters, a width of 4 meters, and a height of 3 meters. Calculate the lateral surface area and convert it to square centimeters. If the paint costs $0.50 per square centimeter, what is the total cost to paint it?

• $90000

• $540000

• $270000

• $150000

Tags

CCSS.7.G.B.6

A tower is shaped like a cylinder with a height of 15 feet and a radius of 3 feet. If the lateral surface area is to be painted and the paint covers 5 square feet per gallon, how many gallons of paint are needed?

• 30

• 57

• 45

• 72

A cylindrical can has a height of 12 cm and a radius of 6 cm. Calculate the lateral surface area that needs to be painted and convert your answer to square meters. If the paint costs $20 per square meter, what will be the total cost?

• $0.45

• $2.50

• $0.91

• $1.20

A rectangular garden shed has a length of 8 feet, a width of 6 feet, and a height of 5 feet. If the lateral surface area is to be painted and the paint covers 10 square feet per gallon, how many gallons of paint will be required?

• 10 gallons

• 14 gallons

• 12 gallons

• 16 gallons

Tags

CCSS.6.G.A.4