Three boxes are stacked one on top of the other. One box is
4
feet
4
inches tall, one is
3
feet
10
inches tall, and one is
3
feet
11
inches tall. How high is the stack?
Write your answer in feet and inches. Use a number less than
12
for inches.
I'll be glad to check your answer.
Two boxes are stacked one on top of the other. One box is
5
feet
7
inches tall, one is
2
feet
9
inches tall, How high is the stack?
Write your answer in feet and inches. Use a number less than
12
for inches.
Sorry she left you hangin, but Idk the answer.
To find the total height of the stack, we need to add the heights of all three boxes.
Let's convert the heights to a common unit before adding them. Since we are given the heights in feet and inches, we can convert the inches to feet and then add the heights.
The first box is 4 feet 4 inches. We can convert the inches to feet by dividing it by 12:
4 inches = 4/12 = 1/3 feet
So the first box is 4 feet + 1/3 feet = 4 1/3 feet tall.
The second box is 3 feet 10 inches. Converting the inches to feet:
10 inches = 10/12 = 5/6 feet
So the second box is 3 feet + 5/6 feet = 3 5/6 feet tall.
The third box is 3 feet 11 inches. Converting the inches to feet:
11 inches = 11/12 = 11/12 feet
So the third box is 3 feet + 11/12 feet = 3 11/12 feet tall.
Now we can add the heights of all three boxes:
4 1/3 feet + 3 5/6 feet + 3 11/12 feet
To add these fractions, we need to find a common denominator. The least common multiple of 3, 6, and 12 is 12.
So, rewriting the fractions with 12 as the denominator:
4 1/3 feet = 4 * (12/12) + 1/3 * (4/4) = 48/12 + 4/12 = 52/12 feet
3 5/6 feet = 3 * (12/12) + 5/6 * (2/2) = 36/12 + 10/12 = 46/12 feet
3 11/12 feet = 3 * (12/12) + 11/12 = 36/12 + 11/12 = 47/12 feet
Adding the fractions:
52/12 feet + 46/12 feet + 47/12 feet = (52 + 46 + 47)/12 feet
= 145/12 feet
To simplify the fraction, we can divide numerator and denominator by the greatest common divisor (GCD) of 145 and 12, which is 1.
So, the total height of the stack is 145/12 feet. However, the question asks for the answer in feet and inches, with inches less than 12.
To convert the fraction to feet and inches, we can divide the numerator (145) by the denominator (12) to get the whole number of feet, and the remainder will be the number of inches.
145/12 = 12 with a remainder of 1
Therefore, the stack is 12 feet 1 inch tall.