Respuesta :
ANSWER
[tex]A=222\operatorname{cm}[/tex]EXPLANATION
A) From the diagram, we see that the base of the triangular face is 4 cm long and the height of the triangular face is 3 cm.
B) From the diagram, we see that the length of two of the rectangular face is 15 cm and the width of the rectangular face is 5 cm.
The third rectangular face has a length of 15 cm and a width of 4 cm.
C) The surface area of the prism is the sum of the areas of the faces of the prism.
The area of a triangle is given as:
[tex]A=\frac{1}{2}\cdot b\cdot h[/tex]where b = base, h = height
The area of a rectangle is given as:
[tex]A=l\cdot w[/tex]where l = length, w = width
Therefore, the surface area of the prism is:
[tex]\begin{gathered} A=2(\frac{1}{2}\cdot4\cdot3)+2(15\cdot5)+(15\cdot4) \\ A=12+150+60 \\ A=222\operatorname{cm}^2 \end{gathered}[/tex]