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

Question

03-08-2014
Mathematics

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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

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MattD MattD · Answer 1 · 2014-08-04T00:06:50+02:00

MattD MattD

04-08-2014

e=6
f=8
H=12
h=?
a=?
[tex](0.5*6)^2+(8*0.5)^2=a^2[/tex]
[tex]25=a^2[/tex]
a=5
[tex](0.5*a)^2+(H)^2=h^2[/tex]
[tex](0.5*5)^2+(12)^2=h^2[/tex]
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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