A gallon of paint can cover 50 square feet. Find how many gallon containers of paint should be bought to paint 3 coats
on each wall of a rectangular room with dimensions 10 feet by 18 feet and walls that are 8-feet tall.

Respuesta :

Answer:

27 gallons

Step-by-step explanation:

A rectangular room is a rectangular prism. The floor and ceiling are the bases. The walls are the lateral faces. The lateral are of a rectangular prism is the product of the perimeter of the base and the height of the prism.

lateral area = Ph

lateral area = 2(10 ft + 18 ft) × 8 ft

lateral area = 448 ft²

area of walls = 448 ft²

area of three coats = 3 × 448 ft² = 1,344 ft²

area covered by 1 gallon of paint = 50 ft²

number of gallons of paint needed = 1344 ft² / 50 ft² = 26.88

Answer: 27 gallons