Question

MEC makes a big family tent in the shape of a symmetrical triangular prism. The floor of the tent is 5 m long and 2.5 m wide. The peak of the tent is 1.9 m off the ground. The diagonal sides of the tent are 2.3 m long.

a) Draw a picture of the tent with dimensions

b) Polyurethane is a sheet material that is fairly waterproof and lightweight. It is sold in sheets of any area you desire. How much polyurethane was needed to make the tent? (remember: The bottom of the tent needs material to keep your sleeping bag dry)

c) How much space is there inside the tent? Predict how many people that might fit!?
* SHOW how you would you calculate that

d) MEC also sells an extra-waterproof fly made of polyester (every time I’ve camped it has snowed or rained…). The fly only covers the top and ends of the tent. How much polyester material is needed to make the fly?

Answer 1

15,236 sq in

Explanation:

First, you have to split the net into three rectangles and two triangles

step 1

triangular base area

1/2 bh = 1/2 (44 in)(64 in)

= 1/2 (2,816 sq in)

= 1,408 sq in.

2 x 1,408 sq in = 2,816 sq in.

step 2

end rectangle area

lw = (68 in)(69 in)

= 4,692 sq in

2 x 4,692 sq in = 9,384 sq in

Now find the area of the middle rectangle

lw - (69 in) (44 in) = 3,039 sq in.

then add all the areas together

2,816 + 9,384 + 3,036 = 15,236 sq in

Hope this helps :)