Answer:
135 square feet
Step-by-step explanation:
area of base and top=2(1/2×6×2.5)=15 square feet.
area of three faces=(2.5+6+6.5)×8=15×8=120 ft
total surface area=15+120=135 square feet.
If B is the midpoint of AC, then AB = BC.
We have AB = x + 5 and BC = 2x - 11.
Therefore we have the equation:
x + 5 = 2x - 11 <em>subtract 5 from both sides</em>
x = 2x - 16 <em>subtract 2x from both sides</em>
-x = -16 <em>change the signs</em>
x = 16
Put the value of x to the expression x + 5:
AB = 16 + 5 = 21
<h3>Answer: AB = 21</h3>
The ratio of the areas is 340/1158 = 170/579thus the ratio of the side lengths is sqrt(170)/sqrt(579) = .5418the ratio of volumes is the side length ratio cubed = .5418^3 = .159Volume of smaller solid = (.159)(1712) = 272.37
