Jamie wants to build a cd case for his room. The wood he will use is 3/4 inch thick and the four shelves are 6 3/8 inch apart. What is the height of the cd case?
Is the lowest shelf on the floor? Or is the lowest shelf a few inches above the floor?
A few inches above the floor.
To find the height of the CD case, we need to add up the thickness of the wood and the spacing between the shelves.
Given:
- The wood thickness is 3/4 inch.
- The shelves are spaced 6 3/8 inch apart.
To calculate the height of the CD case, we can use the formula:
height = (number of shelves - 1) * spacing + thickness
In this case, there are four shelves, so the number of shelves minus 1 is 3.
So, substituting the values into the formula, we have:
height = (4 - 1) * 6 3/8 + 3/4
First, let's convert the mixed number 6 3/8 into an improper fraction:
6 3/8 = (6 * 8 + 3) / 8 = 51 / 8
Now we can substitute this value into the formula:
height = (4 - 1) * (51/8) + 3/4
height = 3 * (51/8) + 3/4
Next, let's evaluate the multiplication:
height = (3 * 51) / 8 + 3/4
height = 153/8 + 3/4
To add these fractions, we need to have the same denominator:
height = (153 + 3*2) / 8
height = (153 + 6) / 8
height = 159 / 8
So, the height of the CD case is 159/8 inches.