Answer:
D) 4.7
Step-by-step explanation:
this perpendicular connection with the circle center cuts this intersecting line in half, which is therefore on both sides of x 6.5 long.
I assume 16 is the diameter, so the radius is 8.
therefore, x is one side of the right-angled triangle of
radius
x
half of the intersecting line
Pythagoras
8² = x² + (6.5)²
64 = x² + 42.25
21.75 = x²
x = 4.7
First we find the area of the two triangles on each side (keep in mind that they are equal/congruent to each other):
(24*10)/2 = 120 cm^2
Then you find the areas of the three rectangles that are left:
24*19 = 456 cm^2
26*19 = 494 cm^2
10*19 = 190 cm^2
Finally, to find the surface area of the prism:
120+120+456+494+190 = 1,380 cm^2
