High School

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Directions: Read the scenario below and solve. Show your work.

Kristen and Rachel are hosting an art show where they will showcase local artists' sculptures. They are painting pedestals upon which the sculptures will be placed.

- Pedestal dimensions:
- Pedestal 1: 3 ft (height) × 2.5 ft (width) × 2.5 ft (depth)
- Pedestal 2: 3 ft (height) × 2 ft (width) × 2 ft (depth)

One gallon of paint can cover 400 square feet.

**PART A:** How many gallons of paint will they need to purchase to cover at least 4 of each type of pedestal? Assume that the base of each will not be painted.

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

  1. 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
  2. Type B: 2 sides of 2 ft x 3 ft + 2 sides of 3 ft x 3 ft
    = 2(23) + 2(33)
    = 18 ft²
  3. 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.


Learn more about Paint Calculation here:

https://brainly.com/question/36826350


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Rewritten by : Barada