Dakota bought new drinking glasses for her kitchen. There are 3 sizes of glasses -4 inches tall, 6 inches tall, and 8 inches tall. Each glass is designed to stack with others of the same height as shown. For all 3 sizes, 2 inches of glass remain above the glass it is stacked in.
Question 1: 1 glass stack heights: a: 4 inches, 6 inches, 8 inches. b: 5 inches, 7 inches, 9 inches. c: 6 inches, 8 inches, 10 inches.
"as shown" is our usual problem in this format.
well, for each size, the stack is that size plus 2" for each additional glass after the first. So, for n glasses of height h, that would be
h+2(n-1)
Thanks
To determine which glass stack heights are correct, we need to consider the given information and calculate the total height of each glass stack.
According to the provided information, each glass is designed to stack with others of the same height, leaving 2 inches of glass above it. This means that when stacking a glass, you need to add 2 inches to its height to account for the space above it.
Let's calculate the total height for each option:
a) Glass stack heights: 4 inches, 6 inches, 8 inches
To calculate the total height for this option, we add 2 inches to each height:
Total height = 4 inches + 2 inches + 6 inches + 2 inches + 8 inches + 2 inches = 24 inches
b) Glass stack heights: 5 inches, 7 inches, 9 inches
Calculating the total height for this option:
Total height = 5 inches + 2 inches + 7 inches + 2 inches + 9 inches + 2 inches = 27 inches
c) Glass stack heights: 6 inches, 8 inches, 10 inches
Calculating the total height for this option:
Total height = 6 inches + 2 inches + 8 inches + 2 inches + 10 inches + 2 inches = 30 inches
Therefore, the correct option is a) with the glass stack heights of 4 inches, 6 inches, and 8 inches, resulting in a total height of 24 inches.