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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 e is shown by the formula SA = 10e squared, and the volume of the prism is represented by the formula v = 2e cubed

What is the surface area of the prism if its edge length is 5 centimeter?

Arusha plans to build the prism and partially fill it with 150 cubic centimeters of sand. What fraction of the prisms volume will be filled by the sand?

Oct 17th, 2017

Edge(e) = 5 cm

Surface area(10*e^2) = 10 * 5^2 = 250 squared centimeters

Volume of prism(2*e^3) = 2 * 5^3 = 250 cubic centimeters

Volume of sand = 150 cubic centimeters

Fraction of prism volume filled by sand = 150 / 250 = 3 / 5 = 0.6 (or 60% of cube volume)......(ANSWER)

Apr 7th, 2015

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