Question

The dimensions for the net of a triangular prism are given in the picture in centimeters.

Which measurement is closest to the total surface area of the triangular prism in square centimeters?
A) 27 cm2
B) 23 cm2
C) 15 cm2
D) 13 cm2

Answer 1

B <3

Explanation:

Answer 2

B) 23 cm2

Explanation:

we know that

The surface area of the triangular prism is equal to the area of three rectangular faces plus two triangular faces

Convert mixed number to improper fractions

`2(1)/(2)=2+(1)/(2)=(5)/(2)\ cm`

`3(1)/(2)=3+(1)/(2)=(7)/(2)\ cm`

`1(1)/(2)=1+(1)/(2)=(3)/(2)\ cm`

so

`SA=2[(3)((3)/(2))]+[((7)/(2))((3)/(2))]+2[(1)/(2)((7)/(2))((5)/(2))]`

`SA=9+5.25+8.75=23\ cm^2`