What is the surface area of the solid figure represented by the net? A. 338.24 square centimeters B. 373.80 square centimeters C. 444.92 square centimeters D. 747.6 square centi…

Question

asked Apr 6, 2020 150k views

2 Answers

Keith Rousseau · Answer 1 · 2020-04-09T18:38:09+0000

Answer:

Option B. 373.80 square centimeters

Explanation:

see the attached figure to better understand the problem

we know that

The surface area of the figure is equal to the area of its 5 faces (3 rectangular faces plus 2 triangular faces)

step 1

Find the area of its 3 rectangular faces

$A_1=(5.6)(9.4)=52.64\ cm^2$

$A_2=(12.7)(9.4)=119.38\ cm^2$

$A_3=(13.9)(9.4)=130.66\ cm^2$

step 2

Find the area of its 2 triangular faces

$A_4=(1)/(2)(12.7)(5.6)=35.56\ cm^2$

$A_5=(1)/(2)(12.7)(5.6)=35.56\ cm^2$

step 3

Find out the surface area

SA=A_1+A_2+A_3+A_4+A_5

substitute the values

SA=52.64+119.38+130.66+35.56+35.56

$SA=373.80\ cm^2$