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Arusha draws a rectangular prism that is made up of two connected cubes, each with side length e. The surface area of a certain rectangular prism with edge length is represented by the formula SA= [tex]10e ^{2} [/tex], and the volume of the prism is represented by the formula V= [tex]2e ^{3} [/tex].

Part A- What is the surface area of the prism if its edge length is 5 cm? Show work

Part B- Arusha plans to build the prism and partially fill it with 150 cubic centimeters of sand. What fraction of the prism's volume will be filled by the sand? Show Work.



Answer :

A.  Applying the formula, we have 10*5*5=250.

B.  Using the given formula, we have 2*5*5*5=250 as the volume.  150 centimeters of sand will be 150/250=3/5 of the volume.

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