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A milk tank at a dairy farm has the form of a rectangular prism. The tank is 3.5 feet wide. The width of the tank is 5/7 of its length, and the height is 4/5 of its width. How many cubic feet of milk can the tank hold? How many pounds of milk can it hold if 1 cubic foot of milk weighs 66.5 lbs?

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jimjam21332323

Answer:

48.02 or 48 1/50 cubic feet and 3193.33 or 3193 33/100 LB ( I do rsm too )

Step-by-step explanation:

The width is 3.5

The length is 3.5*7/5 which is 4.9

The height is 4/5 of 3.5 which is 2.8

So, the volume in cubic feet is 3.5*4.9*2.8 which is 48.02 or 48 1/50

So, the amount in Lb is 66.5*48.02 which is 3193.33 or 3193 33/100

A tank can hold [tex]\boldsymbol{24.5}[/tex] cubic feet of milk and a tank can hold [tex]\boldsymbol{1629.25}[/tex] pounds.

Rectangular prism

A rectangular prism is a three-dimensional solid object that has six rectangle-shaped faces.

Length of a rectangular prism [tex](l)=3.5[/tex] feet

Width of a rectangular prism [tex](w)=\frac{5}{7}(3.5)[/tex]

                                               [tex]=2.5[/tex] feet

Height of a rectangular prism [tex](h)=\frac{4}{5}(3.5)[/tex]

                                                  [tex]=2.8[/tex] feet

Volume of a milk tank [tex]=lwh[/tex]

                                     [tex]=3.5(2.5)(2.8)[/tex]

                                     [tex]=\boldsymbol{24.5}[/tex] cubic feet

                                    [tex]=24.5(66.5)[/tex] pounds

                                    [tex]=\boldsymbol{1629.25}[/tex] pounds

So, a tank can hold [tex]\boldsymbol{24.5}[/tex] cubic feet of milk and a tank can hold [tex]\boldsymbol{1629.25}[/tex] pounds.

             

Find out more information about rectangular prism here:          

https://brainly.com/question/21308574?referrer=searchResults            

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