Question

With process please

Answer 1

Total Surface Area = (Area of cross-section × 2) + (Perimeter of cross-section × Height)

The cross section here is the shaded triangle. Let's find the unknown side of it (the inclined edge) and let's call it x.

Using Pythagoras Theorem,

x² = 5² + 12² = 25 + 144 = 169

x = root 169 = 13

Sooo, our perimeter of cross section = 5+12+13 = 30 cm

`tsa \: = 2( (1)/(2) * 5 * 12) + (30 * 10) \\ = 60 + 300 = 360 \: cm {}^(2)`

Total Surface Area = 360 cm²

Now for the volume.

Volume = Area of cross-section × Length

`volume = ( (1)/(2) * 12 * 5) * 10 \\ 30 * 100 \\ 300`

Volume = 300 cm²