Question

@Michele_laino
What is the surface area of the figure?

http://static.k12.com/calms_media/media/243500_244000/243747/1/7428d4bb911e93e97cd24196dbab100e55ec21cd/VHS_PA_S2_05_L313_UT_Q12_b.gif


A.
300 cm2

B.
390 cm2

C.
195 cm2

D.
220 cm2

Answer 1

here the lateral area A, is given by the subsequent computation:
\[\large A = 2 \times \left( {5 \times 6 + 5 \times 6 + 5 \times 6 + 5 \times 6 + 10 \times 6 + 10 \times 6} \right) = ...?\]

Answer 2

since we have to sum the area of each lateral surface, of our prism

Answer 3

480

Answer 4

@Michele_Laino

Answer 5

@Michele_Laino

Answer 6

sorry, I have made an error, it is:
\[A = 5 \times 6 + 5 \times 6 + 5 \times 6 + 5 \times 6 + 10 \times 6 + 10 \times 6 = 240\;c{m^2}\]

Answer 7

is the answer D?

Answer 8

no, since we have four surface of 30 cm^2 area each, and two surface of 60 cm^2 each, then in total we have a laterl surface of:30*4+2*60=240 cm^2

Answer 9

so B?

Answer 10

I think it is no one of them, since the area is 240 cm^2

Answer 11

please check your options

Answer 12

they are the right ones

Answer 13

I can assure that my computation is right

Answer 14

another way to get your answer is this:
the perimeter of the lateral surface P is:
\[P = 5 + 5 + 5 + 5 + 10 + 10 = 40\;cm\]
so the lateral area A is:
\[A = P \times 6 = 40 \times 6 = 240\;c{m^2}\]