Question

 Can someone plz help me What is the surface area of the figure?     A. 408 ft2   B. 458 ft2   C. 545 ft2   D. 720 ft2

Answer 1

There are 2 faces 7 x 5

$2*(5*7)=2*35=70ft^2$

There 2 faces 5 x 5

$2*(5*5)=2*25=50ft^2$

there are 3 faces 5 x 12

$4*(5*12)=4*60=240ft^2$

There are 2 faces 7 x 7

$2*(7*7)=2*49=98ft^2$

Now only we have to sum all of them together

$98+240+50+70=458ft^2$

Answer 2

$cuboid : \\ \\ l=12 \ ft , \ \ w = 5 \ ft , \ \ h= 7 \ ft \\ \\ A = 2wl + 2lh + 2hw \\ \\A=2\cdot 5\cdot 12 + 2\cdot 12\cdot 7 + 2\cdot 7\cdot 5 = 120+ 168 +70 = 358 \ ft^2 \\ \\ cube: \\ \\ four \ side \ walls : \\ \\ s= 5 \ ft \\ \\ 4 \cdot s^2 = 4 \cdot 5^ 2 = 4*25 = 100 \ ft^2 \\ \\ surface \ area \ of \ the \ figure : \\ \\ 358 +100 = 458 \ ft^2 \\ \\ Answer : \ B. \ 458 ft^ 22$