Help me please. I slightly understand 2

Check the picture below.

so the shape on 2) is simply the shape of a rectangular prism underneath a  right-cylinder, now if we take the cylinder from the prism, we have the picture as you see below, so let's simply get the area of cylinder excepting  the bottom part, and then we'll take the area of the prism excepting the cylindrical part above it.

now, the area of the prism is simply the area of 6 rectangles, and the area of the cylinder is just the area of one circle above and the lateral area of it.

[tex]\stackrel{ \textit{\LARGE area of the prism} }{\stackrel{\textit{front and back}}{(25)(5)}+\stackrel{\textit{left and right}}{(25)(5)}+\stackrel{\textit{top and bottom}}{(25)(25)}~~ - ~~\stackrel{ \textit{excepted area} }{\pi (10)^2}} \\\\\\ 125+125+625~~ - ~~100\pi ~~\approx ~~ 560.84 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{ \textit{\LARGE area of the cylinder} }{\stackrel{ \textit{circular top} }{\pi (10)^2}~~ + ~~\stackrel{ \textit{lateral area} }{2\pi (10)(5)}}\implies 100\pi +100\pi ~~ \approx ~~ 628.32 \\\\[-0.35em] ~\dotfill\\\\ 560.84~~ + ~~628.32 ~~ \approx ~~ \text{\LARGE 1189.16}~cm^2[/tex]

1189.16 cm²

So the shape on 2) is simply the shape of a rectangular prism underneath a  right-cylinder, now if we take the cylinder from the prism, we have the picture as you see below, so let's simply get the area of cylinder excepting  the bottom part, and then we'll take the area of the prism excepting the cylindrical part above it.

Now, the area of the prism is simply the area of 6 rectangles, and the area of the cylinder is just the area of one circle above and the lateral area of it.

Area of the Prism = (25 * 5) + (25 * 5) + (25 * 25) - (100 * π)

                               = 125 + 125 + 625 - 100 π

                               = 560.84 cm²(Approximately)

Area of the cylinder = (π * 10²) + (2π * 10 * 5)

                                   = 100π + 100π

                                   = 628.32 cm² (Approximately)

Total area = Area of prism + Area of cylinder

                 = 560.84 + 628.32

                 = 1189.16 cm² (Approximately)

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