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A traditional square bale of hay is actually in the shape of a rectangular prism its dimensions are 2ft by 2ft by 4ft how many square bales contain in the same amount of hay as one large round bale

User Hyunyoung
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Answer: About 4 square bales.

Explanation:

The missing figure is attached.

The formula for calculate the volume of a rectangular prism is:


V_r=lwh

Where "l" is the lenght, "w" is the width and "h" is the height.

The volume of a cylinder can be found with this formula:


V_c=\pi r^2h

Where "r" is the radius and "h" is the height.

Then, the volume of the traditional square bale which has the shape of a rectangular prism, is:


V_1=(2\ ft)(2\ ft)(4\ ft)\\\\V_1=16\ ft^3

Since the radius of a circle is half the diameter, you can identify in the figure attached that the dimensions of a large round bale are:


r=(4\ ft)/(2)=2\ ft\\\\h=5\ ft

Then its volume is:


V_2=\pi (2\ ft)^2(5\ ft)\\\\V_2=62.83\ ft^3

Finally, dividing the volumes, you get the following result:


(62.83\ ft^3)/(16\ ft^3)\te\approx4

Therefore, you can conclude that about 4 square bales contain the same amount of hay as one large round bale.

A traditional square bale of hay is actually in the shape of a rectangular prism its-example-1
User Cescy
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