Pyramid Paint Calculation
This problem requires calculating the total paint needed for a pyramid's surface area, including an extra amount for retouching.
Base Paint Calculation
Calculate the initial amount of paint needed based on the total surface area and paint coverage rate.
- Total Surface Area = $48 \, m^2$
- Paint Coverage = $2 \, m^2/\text{litre}$
- Base Paint Required = $\frac{\text{Total Surface Area}}{\text{Paint Coverage}}$
- Base Paint Required = $\frac{48 \, m^2}{2 \, m^2/\text{litre}} = 24 \, \text{litres}$
Retouch Paint Calculation
Calculate the extra paint needed for retouching, which is 5% of the base requirement.
- Extra Percentage = $5\%$
- Extra Paint = $5\% \times \text{Base Paint Required}$
- Extra Paint = $0.05 \times 24 \, \text{litres} = 1.2 \, \text{litres}$
Total Paint Determination
Sum the base paint required and the extra paint for retouching to find the final amount.
- Total Paint Needed = Base Paint Required + Extra Paint
- Total Paint Needed = $24 \, \text{litres} + 1.2 \, \text{litres} = 25.2 \, \text{litres}$
The total amount of paint needed is 25.2 litres.
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