143k views
3 votes
A farmer stacked hay bales. The length and width of each hay bale are shown in the picture. The volume of each hay bale is 10 2/3 cubic feet. The farmer stacked 8 haynales on top of one another. What is the height, in feet, of the stacked hay bales. PLEASE HELP!!

A farmer stacked hay bales. The length and width of each hay bale are shown in the-example-1
User Nmdias
by
7.2k points

2 Answers

3 votes
you do the reverse volume function to find out the height of one.
10.6/4 equals 2.6
2.6/1.3 equals 2.
2 times 8 is 16.
The hay bales are 16 feet tall
User Skone
by
8.8k points
2 votes

Answer:

16 ft.

Explanation:

We have been given that the length of each hay bale is 4 ft and the width of each hay bales is
1(1)/(3)=(4)/(3) ft. We are also given that the volume of each hay bale is
10(2)/(3)=(32)/(3) cubic ft.

We will use volume of cuboid formula to find the height of each bale.


\text{Volume of cuboid}=l\cdot w\cdot h, where,

l = Length of cuboid,

w = Width of cuboid,

h = Height of cuboid.

Upon substituting our given values in above formula we will get,


(32)/(3)=4\cdot (4)/(3)\cdot h


(32)/(3)=(16)/(3)\cdot h

Upon multiplying both sides of our equation by
(3)/(16) we will get,


(32)/(3)* (3)/(16)=(16)/(3)* (3)/(16)\cdot h


2=h

Since we are asked to find the height of 8 hay bales stacked on each other, so we will multiply height of each hay bale by 8.


\text{Height of 8 hay bales}=8* 2=16

Therefore, the height of the stacked hay bales is 16 feet.

User Entreco
by
8.8k points