Question

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

Answer 1

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