Find the surface area of the rectangular prism.

Step-by-step explanation:

curved surface area =

perimeter of triangular base × length

= 3×8 + 12

= 24 + 12

= 36mm^2

total surface area

= curved surface area + 2× area of triangular base

= 36 + 2 × root3 ×8^2 ÷ 4

= 36 + 2 × root3 × 16

= 36 + 2× 27.71

= 36 + 55. 425

= 91.425 mm^2

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

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step-by-step explanation: