Math Problem Statement
A gallon of latex paint can cover 300 square feet. Maria has a rectangular room whose dimensions are 16 feet by 25 feet, with 8-foot ceilings. How many gallon containers of paint does she need to buy to paint two coats on each wall?
Solution
To determine how many gallons of paint Maria needs, let's break down the problem step by step.
Step 1: Calculate the total wall area to be painted
Maria's room has four walls, two of which are 16 feet wide and 8 feet tall, and the other two are 25 feet wide and 8 feet tall.
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Area of two 16-foot by 8-foot walls:
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Area of two 25-foot by 8-foot walls:
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Total wall area:
Step 2: Calculate the total area for two coats of paint
Since Maria needs to paint two coats:
Step 3: Determine the number of gallons required
Each gallon of paint covers 300 square feet.
Since Maria cannot buy a fraction of a gallon, she will need to round up to the next whole number.
Final Answer:
Maria needs to buy 5 gallons of paint to cover the walls with two coats.
Do you want more details or have any questions about this solution? Here are some related questions you might find useful:
- How would the number of gallons change if the ceiling height was different?
- What if Maria wanted to paint the ceiling as well?
- How many gallons would be needed for a single coat of paint?
- How does the paint coverage change if she uses a different type of paint with different coverage per gallon?
- What if there were windows or doors in the room that reduced the wall area?
Tip: When painting, always buy slightly more paint than calculated to ensure you have enough for touch-ups.
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Math Problem Analysis
Mathematical Concepts
Geometry
Measurement
Arithmetic
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8
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