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.

Step-by-step 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

$Length\times breadth\times height\\\\=4\times 2\times 2\\\\=16\ ft^3$

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

$=\pi r^2h\\\\=\frac{22}{7}\times 1.5\times 1.5\times 6\\\\=42.42\ ft^3$

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

$\frac{42.42}{16}\\\\=2.65\\\\\approx 2$

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