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The base of right prism is rhombus of diagonal is 6 and 8cm and altitude is 12 cm find total surface area

1 Answer

6 votes
e=6
f=8
H=12
h=?
a=?

(0.5*6)^2+(8*0.5)^2=a^2

25=a^2
a=5

(0.5*a)^2+(H)^2=h^2

(0.5*5)^2+(12)^2=h^2
h=12.25
Area=0.5*e*f+4*a*h*0.5=0.5*6*8+4*0.5*5*12.25=146.5
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