A metal door can expand by up to 0.3% of its height and width in hot summer temperatures. If the door expands to more than the height or width of the door frame, it will not open or close properly.

To ensure that the metal door can still open and close properly during hot summer temperatures, we need to make sure that the expansion does not exceed the height or width of the door frame.

Let's consider an example:

- Let's assume that the metal door has a height of 2 meters and a width of 1 meter.
- To calculate 0.3% of the height, we multiply 2 meters by 0.003, which equals 0.006 meters.
- Similarly, to calculate 0.3% of the width, we multiply 1 meter by 0.003, which equals 0.003 meters.

Therefore, the metal door can expand by up to 0.006 meters (or 6 millimeters) in height and 0.003 meters (or 3 millimeters) in width before it will not open or close properly.

It is important to note that these measurements are approximate and may vary depending on the specific materials and conditions involved. Additionally, the door should be installed with enough clearance to allow for regular expansion and contraction.

To determine whether a metal door will open or close properly in hot summer temperatures, considering its expansion, follow these steps:

Step 1: Calculate the allowable expansion:
- Take the height and width of the door frame and multiply each by 0.003 (0.3% expressed as a decimal). This will give you the allowable expansion in both dimensions.

Step 2: Measure the current height and width of the metal door:
- Use a measuring tool (such as a tape measure) to determine the current height and width of the metal door.

Step 3: Calculate the potential expansion of the door:
- Multiply the current height and width of the metal door by 0.003. This will give you the potential expansion of the door in both dimensions.

Step 4: Compare the potential expansion to the allowable expansion:
- If the potential expansion is within the allowable expansion limits determined in Step 1, then the door should open and close properly in hot summer temperatures.
- If the potential expansion exceeds the allowable expansion limits, the door will not open or close properly.

By following these steps, you can determine whether a metal door will open or close properly based on its expansion in hot summer temperatures.

To determine whether a metal door will open or close properly in hot summer temperatures, we need to calculate the maximum expansion.

First, let's find the maximum expansion in terms of both height and width. We are given that the door can expand by up to 0.3% of its height and width.

For example, if the height of the door is 2 meters (200 cm), the maximum expansion would be 0.3% of the height.

Height Expansion = 0.3% * Height
Height Expansion = 0.3% * 200 cm = 0.003 * 200 cm = 0.6 cm

Similarly, for the width, if the width of the door is 1.5 meters (150 cm), the maximum expansion would be 0.3% of the width.

Width Expansion = 0.3% * Width
Width Expansion = 0.3% * 150 cm = 0.003 * 150 cm = 0.45 cm

Now, we compare the maximum expansions with the dimensions of the door frame to determine if the door will open or close properly. If either the height or width expansion exceeds the dimensions of the door frame, the door will not open or close properly.

Let's assume that the door frame has a height of 205 cm (2.05 meters) and a width of 155 cm (1.55 meters).

If the height expansion is less than or equal to the door frame height (205 cm), the door will open and close properly. In this case, the height expansion (0.6 cm) is less than the door frame height.

Similarly, if the width expansion is less than or equal to the door frame width (155 cm), the door will open and close properly. In this case, the width expansion (0.45 cm) is also less than the door frame width.

Therefore, based on these calculations, we can conclude that the door will open and close properly in hot summer temperatures since the maximum expansions are within the dimensions of the door frame.