A company rents two storage units. Both units are cube-shaped. what is the difference in volume of the two storage units? note that the volume of a cube is s cubed where s is the side length explained
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Answer:
The question is missing the figure. So, the figure is attached below.Answer:237.375 ft³Step-by-step explanation:Given:Side length of bigger cube is, [tex]S_1=8\ ft[/tex]Side length of smaller cube is, [tex]S_2=6.5\ ft[/tex]Now, volume of the bigger storage unit is given as:[tex]V_1=S_1^3\\V_1=S_1\times S_1\times S_1\\V_1=8\times 8\times 8=512\ ft^3[/tex]Volume of the smaller storage unit is given as:[tex]V_2=S_2^3\\V_2=S_2\times S_2\times S_2\\V_2=6.5\times 6.5\times 6.5=274.625\ ft^3[/tex]Now, difference in the volume of the two storage units is given as:[tex]V_1-V_2=512-274.625=237.375\ ft^3[/tex]Therefore, the difference in their volumes is 237.375 ft³.
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