A teacher gave a quiz to her class of 30 students. However, she misplaced one of the quizzes. The teacher calculated the mean of
1 answer:
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Answer:
Part a) The exterior surface area is equal to
Part b) The volume is equal to
Part c) The volume water left in the trough will be
Step-by-step explanation:
Part a) we know that
The exterior surface area is equal to the area of both trapezoids plus the area of both rectangles
so
<em>Find the area of two rectangles</em>
<em>Find the area of two trapezoids</em>
Applying Pythagoras theorem calculate the height h
substitute the value of h to find the area
The exterior surface area is equal to
Part b) Find the volume
We know that
The volume is equal to
where
B is the area of the trapezoidal face
L is the length of the trough
we have
substitute
Part c)
<em>step 1</em>
Calculate the area of the trapezoid for h=2 ft (the half)
the length of the midsegment of the trapezoid is (8+2)/2=5 ft
<em>step 2</em>
Find the volume
The volume is equal to
where
B is the area of the trapezoidal face
L is the length of the trough
we have
substitute