## Smiley75 4 years ago 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?

1. LeopoldBr

What is the side value of the triangle? The triangular base is regular?

2. Smiley75

the side value is 15 feet and the base is 24 feet

3. Smiley75

ok im gonna send a drawing..is not good but i tried

4. LeopoldBr

ok.. im waiting...

5. Smiley75

6. LeopoldBr

you can see if we divide the triangle by 2 we'll have 2pitagoric triangles?

7. Smiley75

i dont get it

8. LeopoldBr

look

9. amistre64

15(30)(2) + 24(30) ?? if I read the picture right.. 30(30 + 24) 30(54) = 1620 ft^2

10. amistre64

are the front triangle and rear triangle covered as well?

11. amistre64

herons formula; s= perimeter/2 sqrt(s(s-15)(s-15)(s-24))

12. Smiley75

to amistre64: yes

13. LeopoldBr

(12*9)*2 triangles + (30*15)*2 sides +24*30 ground =1386

14. amistre64

or since the height is 9; 9(24) will give both areas...

15. Smiley75

oh ok i think i get it now..thank you both

16. LeopoldBr

you're welcome

17. Smiley75

To leopoldBr: oh wait but in the multiple choice it says 1,836 instead of 1386 square feet