Question

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

Answer 1

Answer:

B) 23 cm2

Step-by-step 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

$2\frac{1}{2}=2+\frac{1}{2}=\frac{5}{2}\ cm$

$3\frac{1}{2}=3+\frac{1}{2}=\frac{7}{2}\ cm$

$1\frac{1}{2}=1+\frac{1}{2}=\frac{3}{2}\ cm$

so

$SA=2[(3)(\frac{3}{2})]+[(\frac{7}{2})(\frac{3}{2})]+2[\frac{1}{2}(\frac{7}{2})(\frac{5}{2})]$

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