Answer
$2,205$
Work Step by Step
The expression $
\displaystyle\sum_{i=1}^6 5i^3
$ evaluates to
\begin{array}{l}
5(1)^3+5(2)^3+5(3)^3+5(4)^3+5(5)^3+5(6)^3
\\=
5+5(8)+5(27)+5(64)+5(125)+5(216)
\\=
5+40+135+320+625+1,080
\\=
2,205
.\end{array}