Respuesta :

Answer:

1793.4

Step-by-step explanation:

first, multiply the numbers in the parentheses. Then divide 128.1 by 21 to get the missing number in the parentheses. Then the missing number from outside the parentheses is 14. After that, multiply 128.1 by 14 to get your answer

Check the picture below.

[tex]\textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}asn ~~ \begin{cases} a=apothem\\ n=\stackrel{side's}{number}\\ s=\stackrel{side's}{length}\\[-0.5em] \hrulefill\\ a=6.1\\ s=7\\ n=6 \end{cases}\implies \begin{array}{llll} A=\cfrac{1}{2}(6.1)(7)(6) \\\\\\ \stackrel{\textit{area of the hexagonal base}}{A=(0.5\cdot 6.1\cdot 7\cdot 6)} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{volume of a prism}\\\\ V=Bh ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=(0.5\cdot 6.1\cdot 7\cdot 6)\\ h=14 \end{cases}\implies V=(0.5\cdot \underline{6.1}\cdot 7\cdot 6)\cdot \underline{14} \\\\\\ V=\underline{(128.1)}\cdot 14\implies V=1793.4~cm^3[/tex]

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