Question

Hello! By the way when answering the question just don’t mind my work shown or my answer I know for a fact I am wrong.

Answer 1

We have to calculate the height of the stack of hay bales.

We can start by calculating the volume as the number of bales times the volume of one hay:

`\begin{gathered} V=n*V_0=8*(10+(2)/(3)) \\ V=8*10+8*(2)/(3) \\ V=80+(16)/(3) \\ V=80+(15)/(3)+(1)/(3) \\ V=80+5+(1)/(3) \\ V=85+(1)/(3) \end{gathered}`

Now, we know that this volume will be the area of the base times the height.

The area of the base can be calculated as the product of the length and the width:

`\begin{gathered} A_b=L*W \\ A_b=4*(1+(1)/(3)) \\ A_b=4+(4)/(3) \\ A_b=(4*3+4)/(3) \\ A_b=(12+4)/(3) \\ A_b=(16)/(3) \end{gathered}`

We then can calculate the height as the volume divided by the base area:

`\begin{gathered} h=(V)/(A) \\ h=(85+(1)/(3))/((16)/(3)) \\ h=(85*3+1)/(3)*(3)/(16) \\ h=(256)/(3)*(3)/(16) \\ h=(256)/(16) \\ h=16 \end{gathered}`

Answer the height is 16 feet.