Question

help I'm practicing

Answer 1

120 cm²

1) Let's calculate the surface area by calculating each polygon's area. In this polygon we have, considering that this is a building block

2 triangles 4x3

$\begin{gathered} S=\frac{1}{2}\cdot b\cdot h \\ S=\frac{1}{2}\cdot4\cdot3=6cm^2 \end{gathered}$

2 triangles = 12 cm²

1 rectangle 6 x 9:

$S=6\cdot9=54cm^2$

1 rectangle 5 x 9

$S=5\cdot9=45cm^2$

1 rectangle 3 x 9

$S=3\cdot9=36\operatorname{cm}$

2) Adding it all up: 12 cm²+54+45+27 = 120 cm²