Question

A tent company makes one type of tent that is shaped like a triangular prism.

The approximate dimensions of the tent are shown below.
Based on these dimensions, how much fabric is needed to make one tent,
including a floor?​

Answer 1

183 sq. ft. fabric is needed to make the tent.

Explanation:

The base of the triangle = 6 ft

The height of the triangle = 5 ft

The other two side of the triangle = 5.5 ft and 5.5 ft

The height of the prism = 9 ft

To find the measurement of the fabric to make the tent.

We need to find the surface area of the triangular prism.

a=1/2bh 1/2(6)(5)*2=30

a=(6*5)+2(9*5.5)+(9*6)=183 sq. ft.

30+99+54=183 square ft.

Answer 2

Given:

The base of the triangle = 6 ft

The height of the triangle = 5 ft

The other two side of the triangle = 5.5 ft and 5.5 ft

The height of the prism = 9 ft

To find the measurement of the fabric to make the tent.

We need to find the surface area of the triangular prism.

Formula

The surface area of the triangular prism is

`SA = bh+(a+b+c)H`

where, b be the base of the triangle

h be the height of the triangle

a and c be other two sides of the triangle

H be the height of the prism

Now,

Putting,

b = 6, h = 5, a = 5.5, c = 5.5 and H = 9 we get,

`SA = (6)(5)+(6+5.5+5.5)(9)` sq ft

or,
`SA = 30+153` sq ft

or,
`SA = 183` sq ft

Hence,

Based on the given dimension 183 sq ft fabric is needed to make the tent.