The bookshelf will not fit because the angle of the bookshelf is too small, the angles of the pentagon add up to exactly 540 degrees so the bookshelf is off by 30 degrees
*see attachment for the diagram of the triangular prism box
Answer:
528.8 in.²
Step-by-step explanation:
Surface area of triangular prism = 2(BA) + P*H
Area of triangular base (BA) = ½*b*h
b = 24.5 in.
h = 12 in.
BA = ½*24.5*12 = 147 in.²
Perimeter of triangular base = 24.5 + 17.1 + 17.1 = 58.7 in.
Height of prism = 4 in.
Plug in the values into the surface area formula:
Surface area of prism = 2(147) + 58.7*4
= 294 + 234.8
= 528.8 in.²
First subtract the difference of the points from total points:
56-36 = 20
Now divide 20 points by 2 teams:
20/2 = 10
Now add 36 to 10: 36 + 10 = 46
The final score was 46 to 10
Chicago got 46 points New England got 10 points.