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.
the tallest cabinet that could fit would be about 8 ft.
To find the tallest cabinet that can fit in the basement, we need to subtract the clearance space, which is the height of the ceiling, from the total height of the cabinet.
The height of the cabinet is given as 8 3/12 feet. To simplify this, we can convert 8 3/12 into a mixed number. Since there are 12 inches in a foot, we can rewrite 3/12 as ¼. So, the cabinet's height is 8 ¼ feet.
Next, we subtract the clearance space (ceiling height) from the cabinet height. The ceiling height is given as 8 3/12 feet, which simplifies to 8 ¼ feet.
To subtract fractions, we need a common denominator, which in this case is 4. So we have:
8 ¼ - 8 ¼ = (8 * 4 + 1) / 4 - (8 * 4 + 1) / 4 = (33 - 33) / 4 = 0 / 4 = 0.
This means that the clearance space is equal to the cabinet's height, so no cabinet can fit in the basement.