Savion and his father pitched a tent that has the shape of a triangular prism. The tent is covered in fabric on all sides, including both ends, of the prism. The vertical height of the tent is 9 feet. What is the surface area, in square feet, of the tent?
What is the side value of the triangle? The triangular base is regular?
the side value is 15 feet and the base is 24 feet
ok im gonna send a drawing..is not good but i tried
ok.. im waiting...
you can see if we divide the triangle by 2 we'll have 2pitagoric triangles?
i dont get it
look
15(30)(2) + 24(30) ?? if I read the picture right.. 30(30 + 24) 30(54) = 1620 ft^2
are the front triangle and rear triangle covered as well?
herons formula; s= perimeter/2 sqrt(s(s-15)(s-15)(s-24))
to amistre64: yes
(12*9)*2 triangles + (30*15)*2 sides +24*30 ground =1386
or since the height is 9; 9(24) will give both areas...
oh ok i think i get it now..thank you both
you're welcome
To leopoldBr: oh wait but in the multiple choice it says 1,836 instead of 1386 square feet
Join our real-time social learning platform and learn together with your friends!