Question

If a painter is going to paint a room shaped like a cube with 20ft square walls on each side, and has a gallon of paint that can be used to cover 400 square feet, how many gallons of paint does the painter need to paint all four walls

Answer 1

To determine how many gallons of paint the painter needs, we will first calculate the surface area of the four walls of the cube-shaped room.

1. **Calculate the area of one wall:**
Since each wall is 20 feet square:
\[
\text{Area of one wall} = 20 \, \text{ft} \times 20 \, \text{ft} = 400 \, \text{sq ft}
\]

2. **Calculate the total area for all four walls:**
\[
\text{Area of four walls} = 4 \times 400 \, \text{sq ft} = 1600 \, \text{sq ft}
\]

3. **Determine how many gallons of paint are needed:**
One gallon of paint covers 400 square feet. Therefore, the number of gallons needed is:
\[
\text{Gallons of paint needed} = \frac{1600 \, \text{sq ft}}{400 \, \text{sq ft/gallon}} = 4 \, \text{gallons}
\]

Thus, the painter needs **4 gallons of paint** to cover all four walls.