Need help on this volume/surface area
1 answer:
8. Answer:
Imagine opening the Triangular prism
We will have 2 triangles at the base
and 3 rectangles
The sides of the triangle : base 9in, height 3in
Area of Triangle
=
Now the rectangles
Rectangle1 with sides 9in and 15in, Area = 9*15 = 135
Rectangle 2 with sides 5in and 15in , Area = 5*15 = 75
Rectangle 3 with sides 6in and 15in, Area = 6*15 = 90
Now the total area of the prism
=
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<h2>Hello!</h2>
The answers are:
Question 7:
154.29°
Question 8:
Yes, because the opposite sides are congruent.
<h2>Why?</h2>For question 7:
We know that the sum of all interior angles of any polygon is determined by the following formula:
Therefore the sum of all interior angles of a 14-gon is equal to 2160°, so, the measure of each interior angle is given by the following calculation:
Each interior angle is equal to:
For question 8:
We know that a quadrilateral is a parallelogram when the opposite sides are parallel or congruent.
From the statement we know that:
BE≅ED
and
AE≅EC
So, we can assume that the triangles formed by the sides BE and AE, and the sides EC and ED, are also congruent, meaning that the opposite sides BA and CD are congruent, so, the quadrilateral is a parallelogram.
Have a nice day!