your basement has an 8 3/12 foot ceiling.To the nearest half foot,how tall is the tallest cabinet that can fit in the basement. it doesn't say how tall and wide the door bobpursley.

You didn't read bobpursley's original answer very well.

math - bobpursley, Tuesday, January 26, 2010 at 8:35pm

I wonder how tall and wide the door is. If the door is wide and tall enough, the tallest cabinet is 8 feet.

8 6/12

To determine the maximum height of the tallest cabinet that can fit in the basement, we need to subtract the clearance space required for the cabinet from the height of the basement ceiling. Since the clearance space required for the cabinet is not specified, we will assume a standard clearance of 6 inches (0.5 feet) for the cabinet.

Step 1: Convert the 8 3/12 feet ceiling height to a decimal form:
8 3/12 = 8 + (3/12) = 8.25 feet

Step 2: Subtract the clearance space from the ceiling height:
8.25 feet - 0.5 feet = 7.75 feet

Step 3: Round the result to the nearest half foot, since we need to find the height to the nearest half foot:
The result, 7.75 feet, is closest to 8 feet.

Therefore, the tallest cabinet that can fit in the basement, assuming a standard clearance of 6 inches (0.5 feet), is approximately 8 feet tall. However, if the clearance space required for the cabinet or the dimensions of the door are provided, the calculation may vary.