Answer :
Final answer:
Kristen and Rachel need to paint multiple pedestals for their art show. After calculating the surface areas, they determined they will need approximately 0.58 gallons of paint. Rounding up, they should purchase 1 gallon to ensure adequate coverage.
Explanation:
Calculating Paint Needed for Pedestals
To determine how many gallons of paint Kristen and Rachel need for their art show pedestals, we will first need to calculate the surface area of each type of pedestal (only painting the top, sides, and ignoring the base). Assuming there are three different types of pedestals based on the provided dimensions:
- Type A Pedestal: Dimensions: 2.5 ft x 3 ft
- Type B Pedestal: Dimensions: 2 ft x 3 ft
- Type C Pedestal: Dimensions: 2.5 ft x 2.5 ft
Step 1: Calculate Surface Area for Each Pedestal
- Type A: 2 sides of 2.5 ft x 3 ft + 2 sides of 3 ft x 3 ft
= 2(2.53) + 2(33)
= 15 ft² - Type B: 2 sides of 2 ft x 3 ft + 2 sides of 3 ft x 3 ft
= 2(23) + 2(33)
= 18 ft² - Type C: 4 sides of 2.5 ft x 2.5 ft
= 4(2.52.5)
= 25 ft²
Step 2: Paint Needed for 4 of Each Type
- Type A: 4 pedestals x 15 ft² = 60 ft²
- Type B: 4 pedestals x 18 ft² = 72 ft²
- Type C: 4 pedestals x 25 ft² = 100 ft²
Total Surface Area
Total Surface Area = 60 ft² + 72 ft² + 100 ft² = 232 ft²
Step 3: Calculate Gallons Needed
One gallon of paint covers 400 ft². To find out how many gallons they need:
Gallons needed = Total Surface Area / Coverage per Gallon = 232 ft² / 400 ft² = 0.58 gallons
Since they cannot buy a fraction of a gallon, they need to round up to the nearest whole number. Thus, they should purchase 1 gallon of paint to ensure full coverage.
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