Respuesta :
Answer:
[tex]\mathbf{surface \ area} = \mathbf {64.5 cm^2}[/tex]
Explanation:
The missing diagram is attached in the file below:
The formula for calculating the surface of triangular prism is expressed as:
[tex]\mathbf{surface \ area} = \mathbf {bh + (s_1 + s_2 + s_3)H}[/tex]
where ;
base b = 28 mm = 2.8 cm
height h of the triangle = 3.75 cm
the sides of the triangle [tex]s_ 1, s_2 . s_3[/tex] = 2.8 , 4 and 4 respectively
the height if the prism H = 5 cm
[tex]\mathbf{surface \ area} = \mathbf {(2.8*3.75)+ (0.28 + 4+ 4)5}[/tex]
[tex]\mathbf{surface \ area} = \mathbf {(10.5)+ (8.28)5}[/tex]
[tex]\mathbf{surface \ area} = \mathbf {(10.5)+ (54)}[/tex]
[tex]\mathbf{surface \ area} = \mathbf {64.5 cm^2}[/tex]
