Answer:
24 in²
Step-by-step explanation:
Hello there!
the figure shown is a triangular prism
The base is the triangle
So we need to find the area of the triangle using this formula

where b = base and h = height
The base (triangle) has a base length of 8 inches and a height of 6 inches
Having found the information we needed, we plug it into the formula
So

So the area of the base is 24 in²
Prob(spinning a number < 3on 1 spin) = Prob( spinning 1 or 2) = 2/5
Prob( spinning <3 3 times) = 2/5 * 2/5 * 2/5 = 8/125
These events are independent so we multiply the probabilities.
You can use the change of base formula to get

and also

In general, the change of base formula is
