Answer:
Part 1)
Part 2) The surface area is or
Part 3) or
Step-by-step explanation:
Part 1) How much material does he need to cover the one rectangular side of the tent with the rip?
we know that
The area of a rectangle is equal to
we have
substitute the values
Part 2) If David’s dad wanted to re-cover the whole tent including the bottom, how much material would he need?
we know that
The surface area of a triangular prism (the tent) is equal to
where
B is the area of the triangular face
P is the perimeter of the triangular face
L is the length of the triangular prism
<em>Find the area of the triangular face B</em>
<u><em>Note </em></u><em>The height of the triangle cannot be equal to 6 ft. The height of a right triangle cannot be equal to the hypotenuse. The height must be calculated by applying Pythagoras theorem</em>
we have
Find the height applying the Pythagoras Theorem
substitute the values
substitute
<em>Fin the perimeter of the triangular base P</em>
<em>Find the surface area SA</em>
-----> exact value
or
-----> approximate value
Part 3) What is the volume of the tent?
we know that
The volume of the tent is equal to
where
B is the area of the triangular face
L is the length of the tent
we have
substitute
-----> exact value
or
-----> approximate value