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Does someone mind helping me with this? Thank you!

Does someone mind helping me with this? Thank you!-example-1
User Wisty
by
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1 Answer

4 votes

Answer: 216

=======================================================

Work Shown:

A = area of the triangle on top, aka ceiling

A = 0.5*base*height = 0.5*6*8 = 24

B = area of the triangle on the bottom, aka floor

B = A = 24

C = area of the front rectangular face

C = length*width = 10*7 = 70

D = area of the face in back on the left

D = length*width = 6*7 = 42

E = area of the face in back on the right

E = length*width = 8*7 = 56

Total surface area = A+B+C+D+E = 24+24+70+42+56 = 216 square meters

------------------------

Alternative Method:

A = area of the triangle on top, aka ceiling

A = 0.5*base*height = 0.5*6*8 = 24

B = area of the triangle on the bottom, aka floor

B = A = 24

LA = lateral area = wall area

LA = (perimeter of the base)*(height)

LA = (6+8+10)*(7)

LA = 24*7

LA = 168

Total surface area = A+B+LA = 24+24+168 = 216 square meters

User Carsten Hansen
by
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