Question

30 pts

David and his dad were going camping. When they went into the garage to get their tent they noticed it was ripped. David’s dad said he could fix the tent. He would buy some new material to cover the one rectangular side that ripped.

⦁ How much material does he need to cover the one rectangular side of the tent with the rip? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.
Answer:



⦁ If David’s dad wanted to re-cover the whole tent including the bottom, how much material would he need? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.
Answer:



⦁ What is the volume of the tent? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning. (You need to find the area of one of the triangular bases, and then you can take that measurement and multiply it with the height of the entire prism.) V=Bh, where B = area of one of the triangular bases
Answer:

Answer 1

see below

Step-by-step explanation:

(I'm using measurements of the tent from your other question.)

1. area = length x width

a = 9 x 6

a = 54 ft^2

2. we know that 2 sides of the tent are 54 ft ^2 each

so 54 x 2 = 108 ft^2

now let's find the area of the bottom of the tent

a = 7 x 9

a = 63 ft ^2

now lets find the area of the triangular sides

triangle area = 1/2 x bh

a = 1/2 x 7 x 6

a = 1/2 x 42

a = 21 ft^2there are 2 triangular sides so multiply that by 2

21 x 2 = 42 ft ^2

now we add all the sides together:

108 + 63 + 42 = 213 ft^2

3. triangle area = 1/2 x bh

a = 1/2 x 7 x 6

a = 1/2 x 42

a = 21

now find the volume with a=21 as B and h= 9ft (the length of the tent)

v=Bh

v = 21 x 9

v = 189 ft ^3