18.66 quarts of paint is needed to paint the swimming pool with two coats of paint
Solution:
Given that,
A swimming pool is in the shape of a rectangular prism
Length = 20 feet
Width = 10 feet
Height = 5 feet
Find the surface area of prism
[tex]A=2(wl+hl+hw)[/tex]
Where, "l" is the length and "w" is the width and "h" is the height
[tex]A = 2(10 \times 20 + 5 \times 20 + 5 \times 10)\\\\A = 2(200+100+50)\\\\A = 2 \times 350\\\\A = 700[/tex]
Thus surface area area of prism is 700 square feet
Given that,
One quart of water-resistant paint covers 75 square feet
Therefore,
1 quart paint = 75 square feet
x quart = 700 square feet
This forms a proportion
[tex]1 \times 700 = 75 \times x\\\\x = \frac{700}{75}\\\\x = 9.33[/tex]
Thus 9.33 quarts of paint is needed to cover 700 square feet
How many quarts should you buy to paint the swimming pool with two coats of paint
For two coats of paint we need = 9.33 + 9.33 = 18.66 quarts of paint
Answer:this answer is incorrect.
You can’t paint the top of the pool.
You need to subtract 2 of the top layer’s surface area. The answer is you would need to buy 14 quarts.
Step-by-step explanation:
