Question
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Jerry needs to paint the inside of the garage - the two side walls and the rear wall. The garage is 6 m long. 3 m wide and 2 m high. He can buy the paint in \( 2-\mathrm{L} \) and in \( 500-\mathrm{mL} \) tins. One L willcover \( 14 \mathrm{~m}^{2} \).

Ask by Weston Page. in Australia
Jan 05,2025

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Answer

Jerry needs to buy 2 tins of paint to cover the garage walls.

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The Deep Dive

To calculate the total area Jerry needs to paint, we first determine the area of the two side walls and the rear wall. The two side walls are each \( 2 \, \text{m} \times 3 \, \text{m} = 6 \, \text{m}^2 \) (2 walls, so \( 6 \, \text{m}^2 \times 2 = 12 \, \text{m}^2 \)) and the rear wall is \( 6 \, \text{m} \times 2 \, \text{m} = 12 \, \text{m}^2 \). This brings the total area to \( 12 \, \text{m}^2 + 12 \, \text{m}^2 = 24 \, \text{m}^2 \). Now, considering the coverage, Jerry will need \( \frac{24 \, \text{m}^2}{14 \, \text{m}^2/\text{L}} \approx 1.71 \, \text{L} \) of paint. Since he can buy in \( 2 \, \text{L} \) or \( 500 \, \text{mL} \) tins, a single \( 2 \, \text{L} \) tin will suffice. For an extra tip, always buy a little extra paint to account for touch-ups or any mistakes! It’s a great idea to keep leftover paint for future projects too.

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