120k views
5 votes
Lavonne wants to paint the inside of her garage her garage measures 30 feet by 35 feet with 9 foot ceilings there are no windows but the large garage door measures 13 feet by 8 feet and the small door measures 7 feet by 4 feet she needs to paint three coats to get full coverage how many cans of paint will lavonne need to buy if each can covers 425 square feet

User Kobojunkie
by
8.9k points

1 Answer

1 vote

To calculate the total area that needs to be painted, we first find the surface area of the walls and then add the surface area of the garage door and the small door.

Surface area of the four walls:

Wall 1: 30 ft x 9 ft = 270 square feet

Wall 2: 30 ft x 9 ft = 270 square feet

Wall 3: 35 ft x 9 ft = 315 square feet

Wall 4: 35 ft x 9 ft = 315 square feet

Total surface area of the walls = 270 + 270 + 315 + 315 = 1,170 square feet

Surface area of the large garage door:

13 ft x 8 ft = 104 square feet

Surface area of the small door:

7 ft x 4 ft = 28 square feet

Now, let's find the total surface area that needs to be painted:

Total surface area = 1,170 + 104 + 28 = 1,302 square feet

Since Lavonne needs to apply three coats of paint, we need to multiply the total surface area by 3:

Total area to be painted with three coats = 1,302 square feet x 3 = 3,906 square feet

Now, we can calculate how many cans of paint Lavonne needs to buy, given that each can covers 425 square feet:

Number of cans needed = Total area to be painted / Coverage per can

Number of cans needed = 3,906 square feet / 425 square feet per can

Number of cans needed ≈ 9.19

Since you cannot buy a fraction of a can, Lavonne needs to round up to the nearest whole number of cans.

Lavonne needs to buy approximately 10 cans of paint to paint the inside of her garage with three coats and achieve full coverage.

User BClaydon
by
7.9k points