Question

A traditional “square” bale of hay is actually in the shape of a rectangular prism. Its dimensions are $2$ feet by $2$ feet by $4$ feet. How many square bales contain the same amount of hay as one large “round” bale?

Answer 1

Step 1: Volume of rectangular prism

$$\begin{gathered} =2*2*4 \\ =16f{t}^3 \end{gathered}$$

Volume of one large bale = Bh

Step 2: Convert diameter to radius

Radius $=\frac{4}{2}=2cm$

Volume of large bale = $$\begin{gathered} =\mathrm{\pi }{\left(2\right)}^{2}5=20\mathrm{\pi } \\ =62.8{\mathrm{ft}}^3 \end{gathered}$$

Step 3: Number of square bales require $\frac{62.8}{16}=3.925$

Final Answer: Number of square bales required are almost 4.