If the building is 2-storey and the interior ceiling will be using gypsum boards, how many pieces will be used? (regardless of floor penetrations) If latex paint application is 6 s... If the building is 2-storey and the interior ceiling will be using gypsum boards, how many pieces will be used? (regardless of floor penetrations) If latex paint application is 6 sqm of surface area per liter, how many pails of paint will be used for the ceiling using 2 coats? Read more

Steps to Solve

1. Determine the total ceiling area The interior ceiling area specified is given as 301 square meters. Since the building is two stories, this area is multiplied by the number of stories: $$ \text{Total ceiling area} = 301 , \text{sqm} \times 2 = 602 , \text{sqm} $$

2. Calculate the number of gypsum board pieces needed Assuming each gypsum board covers a standard area of 2.44 m x 1.22 m (for example, around 2.9768 sqm per board), calculate the number of pieces required: $$ \text{Area per board} = 2.44 , \text{m} \times 1.22 , \text{m} \approx 2.9768 , \text{sqm} $$ Then calculate the total pieces: $$ \text{Pieces of gypsum board} = \frac{\text{Total ceiling area}}{\text{Area per board}} = \frac{602}{2.9768} \approx 202.5 $$ Rounding up, we need 203 pieces.

3. Calculate paint requirements If each liter of paint covers 6 sqm and we intend to apply two coats to the ceiling area:

4. Find the total surface area that needs painting, which is still the total ceiling area (602 sqm), double it for two coats: $$ \text{Total area for painting} = 602 , \text{sqm} \times 2 = 1204 , \text{sqm} $$

5. Calculate the amount of paint needed: $$ \text{Liters of paint required} = \frac{1204 , \text{sqm}}{6 , \text{sqm/liter}} \approx 200.67 $$ Rounding up, we need 201 liters.