Question

Item 15 a bale of hay in the shape of a rectangular prism has a length of 4 feet, a width of 2 feet, and a height of 2 feet. a cylindrical bale of hay has a diameter of 3 feet and a height of 6 feet. how many rectangular bales contain the same amount of hay as one cylindrical bale?

Answer 1

Answer: There are 2 rectangular bales contain the same amount of hay as one cylinder bale.

Explanation:

Since we have given that

Length of rectangular prism = 4 feet

Breadth of rectangular prism = 2 feet

Height of rectangular prism = 2 feet

So, Volume of rectangular prism is given by

`Length* breadth* height\\\\=4* 2* 2\\\\=16\ ft^3`

Similarly,

Diameter of cylinder bale = 3 feet

Radius of cylinder bale = 1.5 feet

Height of cylinder bale = 6 feet

So, Volume of cylinder bale is given by

`=\pi r^2h\\\\=(22)/(7)* 1.5* 1.5* 6\\\\=42.42\ ft^3`

So, we need to find the number of rectangular bales contain the same amount of hay as one cylindrical bale is given by

`(42.42)/(16)\\\\=2.65\\\\\approx 2`

Hence, there are 2 rectangular bales contain the same amount of hay as one cylinder bale.